Keep up with the latest news and information by subscribing to our email list. In order to find a quadratic equation from a graph, there are two simple methods one can employ: using 2 points, or using 3 points. There are multiple ways to reduce stress, including exercise, relaxation techniques, and healthy coping mechanisms. You would go about it in a similar way. HTML: You can use simple tags like , , etc. If the graph of y = f(x) = ax^2 + bx + c passes through (1,0) and (3,0) this means that f(1) = 0 and f(3) = 0. GeoGebra will give us the equation of a parabola, but you need to know the focus and directrix first. of the parabola on the graph, and plug it into the vertex form of a quadratic equation. Hi Kathryn and thanks for your input. Math is a subject that can be difficult for some students to grasp. Do you mind if I quote a few of your articles as long as I provide credit and sources back to your blog? Example Problems - Quadratic Equations Example 1 - solve with quadratic formula Example 2 - solve using Indian method Example 3 - solve by factoring Example 4 - completing the square Example 5 - create quadratic ALL Example Problems - Work Rate Problems Example 3 - time to wash cars Example 4 - Excel Linear Programming Our expert team is here to help you with all your questions. ), Although a rather long and drawn out discussion, it might be useful if you offered your readers the method for solving any order polynomial equation using matrix determinants and Cramer's rule. Just give me a few minutes and I'll have the answer for you. How do i know when the curve goes like a u or a upside down u ? Because sometimes quadratic equations are a lot harder to solve than that first example. This app is simply amazing. The co-ordinants i have are (-5,0) and (31.26,0) for the x axis, and for the y i have (o,3). Given 3 points, $(x_1, y_1), (x_2, y_2), (x_3, y_3)$, how might I find an equation intersecting all of these points? Videos Arranged by Math Subject as well as by Chapter/Topic. This means that at no point will. The quadratic equation whose roots are , , is x 2 - ( + )x + = 0. Solve for a. Substitute the last ordered pair and the values of b and c into the general equation. It is derived from the Latin word quadrare, which means "to square", which is what you do in quadratics. I felt sick in Pre-Calc yesterday while they were reviewing this and wasn't up to asking the teacher to repeat everything cuz it didn't make sense at that moment but this really helps ! On parabola how can I find the equation of the axis of symmetry . . I really love this app, and couldn't stop myself from rating this app with 5 star, i wish I had it earlier. Google Photos) then put the link to it here. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. First we need to identify the values for a, b, and c (the coefficients). Is it possible to create a concave light? There are multiple ways to reduce stress, including exercise, relaxation techniques, and healthy coping mechanisms. Two cloud shapes down and one to go. for instance, we can compare cost per encounter versus revenue by encounters, to find this information we have to total our cost by encounters and compare this to revenue by encounters. Step 2: Pick a point on the graph Get Help with Homework; Track Way; Solve math equation; Clear . We'll use that as our 3rd known point. This gives the black curve shown. For example, 5 = a(1^2) + b(1) + c simplifies to a = -b - c + 5. This will require solving a system of three equations in three unknowns. One such quadratic polynomial is f(x) = (x-1)(x-3, Use the given point (-1, 3), which says y is 3 for x equal to -1. Start from the beginning of Khan Academy. May God bless and guide you! Thequadratic formulais an algebraic formula used to solve quadratic equations. @Carolyn: I'm not quite sure what your question means (don't want to lead you astray!). Final equation is: The point:workverycarefully. What is the relationship between three points on a quadratic curve and the curves coefficients? Thanks!!! This method will allow one to "fit" a curve to any number of data points. Substitute your known values and you'll end up with a system of equations, similar to the one in the article. First step, make sure the equation is in the format from above, The two solutions are the x-intercepts of the equation, i.e. Now the quadratic regression equation is as follows: y = ax2 + bx + c y = 8.05845x2 + 1.57855x- 0.09881 Which is our required answer. Thanks pal really helped me. Math is the study of numbers, shapes, and patterns. Can the Spiritual Weapon spell be used as cover? Another way of going about this is to observe the vertex (the "pointy end") of the parabola. Plug in 0 for x and see if the equation gives you -3, the y -intercept. In the vertex form, y = a (x - h)^2 + k y = a(x h)2 +k the variables h and k are the coordinates of the parabola's vertex. Enter the points in cells as shown, and get Excel to graph it using "X-Y scatter plot". In example 3 we need to find extra points. The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients. Method 1 Using the Vertex Formula 1 Identify the values of a, b, and c. In a quadratic equation, the term = a, the term = b, and the constant term (the term without a variable) = c. If you're seeing this message, it means we're having trouble loading external resources on our website. Thanks for all your help, @Will: I re-wrote that portion of the solution. Gimusi.Wonderful.I wish I could share anything with Lagrange. If we have a y-intercept, the we find it by substituting x = 0. Let's start with the simplest case. We know that a quadratic equation will be in the form: y = ax 2 + bx + c Our job is to find the values of a, b and c after first observing the graph. In math, a quadratic equation is a second-order polynomial equation in a single variable. A parabola is the locus of points equidistant from a Use the given point (-1, 3), which says y is 3 for x equal to -1. How to Find a Quadratic Equation from a Graph: Step 1: Identify Points Step 2: Sub Points Into Vertex Form and Solve for a Step 3: Write Out Quadratic . What's the difference between a power rail and a signal line? What a cop-out. For instance, you can substitute (1, 5) into the equation to yield 5 = a(1^2) + b(1) + 1, which simplifies to a = -b + 4. 1989) reserve the term for a quartic equation having no cubic term, i.e., a quadratic equation in x^2. (All parabolas with axis parallel to the y-axis pass through the y-axis). A quadratic equation can be solved in multiple ways, including factoring, using the quadratic formula, completing the square, or graphing. I do not enjoy math and I need some help. Then, see how find the value of that variable and use it to find the value of the other variable. (a) Write down the turning point of the graph y=x - 2x - 3. I can't believe I have to scan my math problem just to get it checked. For an example, let the vertex be (2, 3). GeoGebra is the way to go, I believe. Where does the word "Quadratic" come from? Can I use excel and choose polynomial and order 4? Does ZnSO4 + H2 at high pressure reverses to Zn + H2SO4? This simplifies to a = 1. Hello Raka. . @Mathan: What kind of "curve" are you talking about? Completing the Square. If you want to find the vertex of a quadratic equation, you can either use the vertex formula, or complete the square. instead of the formula, my textbook wants me to use factorization..how to i do x^2+2x-3=0? Direct link to nkfonseka's post Start from the beginning , Posted 7 years ago. He has the unofficial record for the most undergraduate hours at the University of Texas at Austin. The product of the Root of the quadratic equation is = c/a. I was about to teach my Masters students about non linear inventory models and came across this simple ideai must say it is fantastic and now i will teach them this simple technique at the highest level with maximum effecticvity, Hi! Substitute the second ordered pair and the value of a into the general equation. The graphs of quadratic functions have a nonlinear "U"-shape with . The formula to find the roots of the quadratic equation is x = [-b (b 2 - 4ac)]/2a. The expression b24ac{b}^{2}-4acb24ac, which is under the(sqrt) inside the quadratic formula is called the discriminant. Note: We could also make use of the fact that the x-value of the vertex of the parabola y = ax2 + bx + c is given by: Here's an example where there is no x-intercept. Looking for an introduction to parabolas? * E-Mail (required - will not be published), Notify me of followup comments via e-mail. Math is the study of numbers, space, and structure. Direct link to Robert Lee's post if you mean find the solu, Posted 8 years ago. I'll try to find time to write an article on this. Use any of these methods, and graphing, to check an answer derived using any other method. and then use the point-slope form to write the equation of the line. Now you can also solve a quadratic equation through factoring, completing the square, or graphing, so why do we need the formula? Substituting for x and y: 3 = a(-1 - 3)2 - 1 = 3 = a(-4)2 Ans so on. f(x) = 0.25(x (2))^2 + 1 = 0.25(x + 2)^2 + 1, how do you get 0.25x^2 + x + 2 from 0.25(x + 2)^2 + 1. i don't understand the working, please can you show the steps taken? I am transport planning student and have lot of data where i have to fit parabola. But as in the previous case, we have an infinite number of parabolas passing through (1, 0). If then And as we saw from the graph, the y-intercept is (0, -3). Math Teachers at Play # 39 Let's Play Math! How to find the equation of a logarithm function from its graph? 8 = a(3 - 2)^2 + 3 \text{ or } 8 = a(1)^2 + 3, University of Georgia: Writing Quadratic Equations. May be of interest to some of you, see this simple how-to obtain curve fitting equation from graph image / published graph at: https://pocketengineer.wordpress.com/2016/04/02/how-to-obtain-curve-fitting-equation-from-graph-image-published-graph/. How did the value of a become 2? In this example, solving for a results in, Substitute the value of a into the equation from Step 1. @ABC: Every parabola passes through at least one of the axes. What is the value of "a"? Solve mathematic question I can solve any mathematic question you give me. This is the final equation in the article: f(x) = 0.25x^2 + x + 2. The quadratic formula is: You can use this formula to solve quadratic equations. Sincerely, Harry Dunleavy. (We'll assume the axis of the given parabola is vertical.). Find the Equation of a Quadratic (Parabola) Given 3 Points and then use the point-slope form to write the equation of the line. Direct link to MBlackwll's post Hopefully this proof help, Posted 7 years ago. Math is a way of solving problems by using numbers and equations. In this article, we review how to graph quadratic functions. Its really a great job to post about quadratic equation and its curves..i ll recommend it to my colleagues. This Wolfram|Alpha search gives the answer to my last example. Redoing the align environment with a specific formatting, Theoretically Correct vs Practical Notation. Our goal is to make science relevant and fun for everyone. When not working on his children's book masterpiece, he writes educational pieces focusing on early mathematics and ESL topics. The last portion showing how to do it on Wolfram|Alpha, Excel and GeoGebra give us the same answer as on paper. This app has been really great for helping me with my gcse work. That is, we can do it with software or without. [] Bourne of squareCircleZ has posted onHow to find the equation of a quadratic function from its graph. Substituting for x and y: 3 = a(-1 - 3)2 - 1 = 3 = a(-4)2 Vertex point: ( | ). Thanks for the calculus-based approach, Alan. You can take x= -1 and get the value for y. Substituting for x and y: 3 = a(-1 - 3)2 - 1 = 3 = a(-4)2, Coursera digital transformation in financial services, How to find percent error when accepted value is zero, How to find the least common multiple of a pair of polynomials, Penfed payment saver auto loan calculator, Solve by completing the square with coefficients, Translate math word problems into equations, Trigonometric ratios right triangle calculator. find the equation of the tangents to a quadratic curve through the point $(-7,1)$ 1 Conic sections ( coordinates of the point of intersection of tangents with the curve ) If you preorder a special airline meal (e.g. You would still have the stimulation of collecting and analysing data, without the responsibility of having to write it up at the end (and hopefully you'd get paid). In solving quadratics, you help yourself by knowing multiple ways to solve any equation. vegan) just to try it, does this inconvenience the caterers and staff? Also to see if you can use this to calculate sine values using two quadratic equations with one of them being the correction value add to the other to get it. How to get the equation of a parabola given x intercepts quadratic vertex and y intercept find from graph function finding chilimath roots an ex. @Madhu: This is the same approach suggested by Paul, a few comments ago. You can also try completing the square. Observe my graph passes through 3 on the y-axis. What will be the vertex, focus and directrix of such parabola? @billy: I added an extra line in there for you - hopefully it's clearer now. Quadratic Formula: x = bb2 4ac 2a x = b b 2 4 a c 2 a. Then a = 1, b = -7 and c = 10 Substitute them in the quadratic formula and simplify. If all you knew was factoring, you would be stuck. I am a physics and Maths student, and with this lesson sent to me is really a great help in doing quadratics and projectile motion. @Peter: Actually, if there are 3 intercepts, it's a quadrinomial. Check out this video. I found this website and it is so wonderful! there's a similar question already on the site: As satisfying as the closed form might be, it is conceptually clearer to notice that in the case of 2 points $(x_1,y_1)$, $(x_2,y_2)$, to find the coefficients of a linear equation $y=ax+b$ that passes through those two points you plug the coordinates of those 2 points into that equation to get a system of two equations $$y_1 = a x_1 + b$$ $$y_2 = a x_2 + b$$ and then you solve that system of equations for $a,b$. Calculate a quadratic function given the vertex point Enter the vertex point and another point on the graph. These are designed to handle interpolation. A quadratic equation has two solutions if the discriminant b^2 - 4ac is positive. Chance E. Gartneer began writing professionally in 2008 working in conjunction with FEMA. @Jaahnavi I think you mean "vertex points", right? For convenience let us assume that we have 3 points (1,5), (3,2) & (5,3). I will carry this information with me until I forget it, which undoubtably will be very soon, in which case I will soon be back. I can help you with that math problem! There are many different ways to solve a system of linear equations. @Mick: Thanks for the positive feedback. Math is often viewed as a difficult and boring subject, however, with a little effort it can be easy and interesting. I found your graphs and explanations very helpful. One of the activities in my "Blue Meanies" game (at http://qpr.ca/math/applets/meanies/ )asks students to "guess" the equation of a parabola through three points by imagining the curve and using its geometry (in various ways) to determine the equation. Let's start with the simplest case. Nothing magic about it - when x does equal zero, we are on the y-axis. Which becomes when expanded: Hi, Math is a challenging subject for many students, but with practice and persistence, anyone can learn to figure out complex equations. thank you. Use the given point (-1, 3), which says y is 3 for x equal to -1. y=ax Solve math With a little practice, anyone can learn to solve math problems quickly and efficiently. Also, notice thesign before the square root, which reminds you to findtwovalues forx. order now. Calculate a quadratic function given the vertex point Computing a quadratic function out of three points. In order to find a quadratic equation from a graph, there are two simple methods one can employ: using 2 points, or using 3 points. How Quadratic Regression Calculator Works? This will require solving a system of three equations in three unknowns. How to find the equation of that curve? https://upload.wikimedia.org/wikipedia/commons/9/99/Quartic_Formula.svg, https://en.wikipedia.org/wiki/AbelRuffini_theorem, https://www.khanacademy.org/math/algebra/quadratics/solving-quadratics-using-the-quadratic-formula/v/proof-of-quadratic-formula. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1 and 0 to find \begin{eqnarray*} f(1) Clarify mathematic problem In mathematics, an equation is a statement that two things are equal. You then go about solving a system of three equations to get the equation(#2): y = 1.5 x^2 + 1.5x - 3. The stationary points are found as the values of where this derivative equals zero. Our goal is to make science relevant and fun for everyone. Why is this sentence from The Great Gatsby grammatical? I've added 3 or 4 statements about axis of symmetry on this page to help you: Ive got a question, (sorry for my bad English). Let's try another example using the following equation: Then we can check it with the quadratic formula, using these values: If you then plotted this quadratic function on a graphing calculator, your parabola would have a vertex of(1.25,10.125)with x-intercepts of-1and3.5. I would like to know how to find the equation of a quadratic function from its graph, including when it does not cut the x-axis. Looking for detailed, step-by-step answers? . For example, 11 = (-b - c + 5)(2^2) + b(2) + c simplifies to b = -1.5c + 4.5. This is indeed the type of discussion and exercise that we need to see more of. I mean I have heard of so called Octic Equations which are of the form: In 1827, a mathematician by the last name of Abel proved that there is no way to make an analogous equation past the 4th degree. The quadratic formula is used to solve quadratic equations. Hey all, What if there are no points touching the x-axis and y-axis? In this example, let the point be (3, 8). It can be very useful to solve equations and stuff but it's too specialised on that, but math app I hope you can fix the camera but that doesn't matter cause I can just type. How to find quadratic function with two points - College algebra students dive into their studies How to find quadratic function with two points, and. example Direct link to Huron Tu's post In 1827, a mathematician , Posted a year ago. This is not so straightforward from observations of a graph. This set of data is a given set of graph points that make up the shape of a parabola. No factors of-3add to-7, so you cannot use factoring. Use the given point (-1, 3), which says y is 3 for x equal to -1. 3/9/10 5:45 AM. : ). NOTE: You can mix both types of math entry in your comment. Does the above equation represent a parabola? Again, your page is interesting and excellent for H.S and college students. therefore it must satisfy the equation . I have tried hard but found none. I have no feedback here but really, This app works with me since 2015 when I saw the first ads on IG and im still using it until now, if you are a student you need to check this out, even my maths teacher can't explain as nicely, knows everything I need accept some graphing. A quartic equation is a fourth-order polynomial equation of the form z^4+a_3z^3+a_2z^2+a_1z+a_0=0. For the b^2 part inside the square root, why can't it be transferred to the outside as b? We can see the vertex is at (-2, 1) and the y-intercept is at (0, 2). Given Three Points In the next example that you can see here, we're given. I'm assuming your parabola must have a vertical axis (since you talk about forming a quadratic equation, and this must be in x, since it cannot be in y for your points). Thank you so much Murray Bourne. Now youve got the basics of the quadratic formula! Graphing calculators will probablynotbe equal to the precision of the quadratic formula. You may also see the standard form called a general quadratic equation, or the general form. Look no further our experts are here to help. Unlike most other websites, this is clean, organized, and not overly cluttered with crap. You won't be able to fit a parabola with x-axis as the parabola of symmetry through those 3 points - only one parallel to x-axis. To find the quadratic functions whose graphs contain the points and we can evaluate at 1 and 0 to find Solving the first equation for gives . So the correct quadratic function for the blue graph is. I modified it to give a parabola with horizontal axis through your given 3 points. Which "x" are you trying to calculate? Excellent and abundantly helpful. Substituting 3 for x and 8 for y in, Solve the equation for a. Just as a quadratic equation can map a parabola, the parabola's points can help write a corresponding quadratic equation. When a quadratic equation is graphed, it forms a parabola. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. 2 1 Sponsored by Forge of Empires 20+ tutors near you & online ready to help. The next example shows how we can use the Vertex Method to find our quadratic function. Quadratic Equation in Standard Form: ax 2 + bx + c = 0 Quadratic Equations can be factored Quadratic Formula: x = b (b2 4ac) 2a When the Discriminant ( b24ac) is: positive, there are 2 real solutions zero, there is one real solution negative, there are 2 complex solutions @Evogod: Feel free to ask more about this in the IntMath Forum. Step 1: Enter the equation you want to solve using the quadratic formula. Instead of x, you can also write x^2. In this day of readily available (and free) computer tools, I no longer recommend Cramer's Rule! @John: Yes, that would do it. The general form of a quadratic equation is y=ax^2+bx+c . The square of a negative is a positive, sob2{b}^{2}b2will always be a positive value. We find the vertex of a quadratic equation with the following steps: Get the equation in the form y = ax2 + bx + c. Calculate -b / 2a. I admire your desire to continue learning, however I don't think you'll find a reputable online PhD mathematics program. What is the quadratic formula? It only takes a minute to sign up. We already have a quiz Mnday! Parabolas have two equation forms standard and vertex. In our example above, we can't really tell where the vertex is. x = [- (-7) ( (-7) 2 - 4 (1) (10))] / (2 (1)) = [ 7 (49 - 40) ] / 2 = [ 7 (9) ] / 2 = [ 7 3 ] / 2 In the vertex form, the variables h and k are the coordinates of the parabola's vertex. Thanks. if b24ac=0{b}^{2}-4ac=0\to b24ac=0 1 solution, if b24ac>0{b}^{2}-4ac>0\to b24ac>0 2 solutions, if b24ac<0{b}^{2}-4ac<0\to b24ac<0 no real solution. Why is this the case. Writing Quadratic Equations for Given Points. It may look a little scary, but youll get used to it quickly! i find just a little problem solving a problem. a = 1, b = 6, c = 8 f(x) = x2 6x + 8 There is also a spreadsheet, which can be used as easily as Excel. If the coefficient of x^2 is positive, the curve will look like a u (i.e. Posted 7 years ago. Posted in Mathematics category - 17 May 2011 [Permalink]. If you need help, our customer service team is available 24/7. Learn more about Stack Overflow the company, and our products. using the amount of revenues and expenses, we can determine if based on the number of staff and encounters. These can be very helpful when you're stuck on a problem and don't know How to find quadratic equation from two points. Using our general form of the quadratic, y = ax2 + bx + c, we substitute the known values for x and y to obtain: Substituting c = 3 in the first line gives: 4a 2b = 3; and substituting into the second line gives: Substituting a = 1.5 into a + b = 3, we get b = 1.5. Homework is a necessary part of school that helps students review and practice what they have learned in class. If asked for the exact answer (as usually happens) and the square roots cant be easily simplified, keep the square roots in the answer, e.g. In your example, y = 2(x-3)^2+1, when x = 0, y = 19. If you are trying to find the zeros for the function (that is find x when f(x) = 0), then that is simply done using quadratic equation - no need for math software. We will graph using the properties. This will give you insight to the answer of @DrSonnhardGraubner. I just you to install this for free. Understanding the Discriminant in a Quadratic Formula, alQpr Blog Archive How to find the equation of a quadratic function from its graph :: squareCircleZ. My website is in the very same niche as yours and my users would definitely benefit from some of the information you present here. Again, thank you so much for putting together this wonderful page for people like me. Substitute the vertex's coordinates for h and k in the vertex form. That is one way to find a quadratic function's equation from its graph. Consider a quadratic equation in standard form: a {x}^ {2}+bx+c=0 ax2 + bx + c = 0. They'll just say it's simplified and only occasionally tell you the math rule that was used but I believe that is because I'm on trial and not paying. Further point: Sometimes it is easy to spot the points where the curve passes through, but often we need to estimate the points. Using this formula, all we . You could use MS Excel to find the equation. In order to find a quadratic equation from a graph, there are two simple methods one can employ: using 2 points, or using 3 points. Substitute any ordered pair and the value of c into the general equation. Take a look! He says that to graph a parabola you need to find the mirror point symmetrical to the Y-intercept. x^2=2y So far, so good. I was not aware of the FitPoly command in GeoGebra - it's a shame it is not included in one of the menus. (b) Use the graph to find the roots of the equation x-2x-3=0. Connect and share knowledge within a single location that is structured and easy to search. @PeterSzilas In this case I must share the credits with Lagrange! Replacing broken pins/legs on a DIP IC package, Styling contours by colour and by line thickness in QGIS, Identify those arcade games from a 1983 Brazilian music video. Anything above 4 data points (4x4 matrix) gets really long, but the principle is the same no matter how many data points. Example 1: Vertex form Graph the equation. Check. Surround your math with. For example, 11 = (-b + 4)(2^2) + b(2) + 1 simplifies to b = 3. We are seeking two numbers that multiply to6and add to5: We can see that either expression equals0(since multiplying it times the other expression yields0). Learn how to find the equation of a quadratic (parabola) given 3 points in this video by Mario's Math Tutoring. To find the unique quadratic function for our blue parabola, we need to use 3 points on the curve. How to find the equation of a quintic polynomial from its graph. Solve for b. If we use y = a(x h)2 + k, we can see from the graph that h = 1 and k = 0. The vertex occurs where x = h, and that occurs at the lowest (or highest) y-value for your data. For the quadratic formula, I have a quick question. Therefore Sign Up. Direct link to almadugomez's post how is the quadratic form, Posted 7 years ago. Here is the appropriate section: Plane Analytical Geometry. Cheers everyone!! Everytime i do this i get an infinite loop. the values of. In an equation likeax2+bx+c=ya{x}^{2}+bx+c=yax2+bx+c=y, sety=0 and work out the equation. I use this method to control the torque profile on a surface driven winder (real world math) Consider a quadratic equation in standard form: You may also see the standard form called a general quadratic equation, or the general form. With a little perseverance, anyone can understand even the most complicated mathematical problems. When using the quadratic formula, you must be attentive to the smallest details. http://www.sscc.edu/home/jdavidso/Math/Catalog/Polynomials/Fifth/FifthDegreeB.html, https://www.intmath.com/forum/plane-analytic-geometry-37/. = (a * f * k) + (b * g * i) + (c * e * j) - (c * f * i) - (a * g * j) - (b * e * k) a numerator = (d * f * k) + (b * g * l) + (c * h * j) - (c * f * l) - (d * g * j) - (b * h * k) Use the given point (-1, 3), which says y is 3 for x equal to -1. The IntMath Forum would be the appropriate place for your question. As the y intercept was at -3, could we not simply use this to determine the proper equation: The equation of the parabola is y = ax2 + bx + c, where a can never equal zero. Thank you so much for this page.. The first derivative is found by differentiating the function. By breaking down and clarifying the steps in a math equation, students can more easily understand and solve the problem. Mathematics is the study of patterns and relationships between numbers, shapes, and other mathematical concepts. @Paul: Yes, that's what I did in the article and arrived at the same equation as you did. of the parabola on the graph, and plug it into the vertex form of a quadratic equation. the curve will have an absolute maximum). Work through it. Thanks. The quadratic equation is y = 0.25 ( x - 1) ( x - 5). Thanks a lot! (parabola Legs towards West direction). Solve for c. For instance, 19 = -(-1.5c + 4.5) - c + 5 + (-1.5c + 4.5)(3) + c simplifies to c = 1. y=\goldD {a} (x-\blueD h)^2+\greenD k y = a(x h)2 + k By the way, do you know any college that has a doctorate in Mathematics on line as I have nothing else to do. How do I find a quadratic equation given 2 points and no vertex?