SOLUTION: Find a quadratic function whose graph has a maximum value at 25 and x-intercepts -3 and 2.

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Question 770438: Find a quadratic function whose graph has a maximum value at 25 and x-intercepts -3 and 2.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Vertex is at x=%28-3%2B2%29%2F2=-1%2F2, so is the point (-1/2,25). Feeding this into the standard form parabola equation, y=a%28x%2B1%2F2%29%5E2%2B25 .

Use either or both x-intercept points to find the value for a.
0=a%28-3%2B1%2F2%29%5E2%2B25, what is a?
OR
0=a%282%2B1%2F2%29%5E2%2B25, what is a?