Using 3 Points to Find Quadratic Equation in General Form

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To find the quadratic equation in general form using the points (1,0), (3,0), and (0,-6), the method y = a(x-p)^2 + q is suggested, with the goal of determining the constants a, p, and q. The user has calculated a as -2 but struggles to find p and q. The discussion highlights the importance of using the correct form of the equation, with some participants suggesting alternative methods that may not align with the teacher's requirements. Ultimately, the key steps involve substituting known values into the equations derived from the points to solve for the unknowns. The conversation emphasizes the necessity of adhering to the specified method for the assignment.
  • #31
D H said:
I think that we should focus on teaching how to find the values of a, p, and q in y=a(x-p)2+q given that y(1)=0, y(3)=0, and y(0)=-6.

Wasn't that done long before this/these thread(s) want bananas? Post #6, which I think was post #2 or #3 before the threads were merged did just that.
 

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