SOLUTION: The roots of a quadratic equation are given. Graph the related quadratic function if it has the indicated maximum or minimum point. roots: -2,+2 maximum point: (0,2) I don't

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Question 6641: The roots of a quadratic equation are given. Graph the related quadratic function if it has the indicated maximum or minimum point.
roots: -2,+2
maximum point: (0,2)
I don't know what to do with this information. Please Help!! Thank You!!
Answer by ichudov(499) About Me  (Show Source):
You can put this solution on YOUR website!
if roots are 2 and -2, then the quadratic trinomial is a product of two binomials (x-2) and (x+2), and a coefficient a. To find a, you need to use information about maximum point: with x=0, a(x-2)(x+2) = 2. a(0-2)(0+2) = 2, or -4a = 2, or a = -1/2. So, you ttrinomial is -1/2*(x-2)(x+2).
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