Using 3 Points to Find Quadratic Equation in General Form

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Homework Help Overview

The discussion revolves around finding a quadratic equation in general form using three specific points: (1,0), (3,0), and (0,-6). The original poster mentions a requirement to use the method of y = a(x-p) + q, which has led to confusion in their attempts to solve the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the original poster's attempts to derive the quadratic equation using the specified method, noting the equations formed and the challenges faced in solving for variables p and q. Some suggest substituting known values into the equations to simplify the process.

Discussion Status

There is an ongoing exploration of the problem, with various participants offering suggestions on how to proceed. Some express confusion regarding the method prescribed by the teacher, while others propose alternative approaches that could potentially simplify the task. The discussion reflects a mix of interpretations and attempts to clarify the requirements.

Contextual Notes

Participants question the validity of the points provided and whether they can indeed form a parabola. There is also mention of strict adherence to the teacher's instructions, which may limit the methods available for solving the problem.

  • #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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