SOLUTION: how do I find an equation of the parabola that contains the points (-3,7), (2,9), (6,-2)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: how do I find an equation of the parabola that contains the points (-3,7), (2,9), (6,-2)      Log On


   

Question 486178: how do I find an equation of the parabola that contains the points
(-3,7), (2,9), (6,-2)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


An equation for a parabola can take the form:



Any ordered pair

will satisfy the equation, so given that is a point on the parabola:



Which is to say:



Likewise you can derive:



and



Solve the system of equations to obtain the coefficients of your parabolic function.

John

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