SOLUTION: Find the equation of the quadratic function that has zeroes at 3 and -2 and a maximum of 12.5

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the equation of the quadratic function that has zeroes at 3 and -2 and a maximum of 12.5      Log On


   

Question 882682: Find the equation of the quadratic function that has zeroes at 3 and -2 and a maximum of 12.5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-3%29%28x%2B2%29
Now put the equation into vertex form to find the maximum,
y%2Fa=x%5E2-x-6
y%2Fa=%28x%5E2-x%2B1%2F4%29-6-1%2F4
y%2Fa=%28x-1%2F2%29%5E2-25%2F4
y=a%28x-1%2F2%29%5E2-%2825%2F4%29a
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-%2825%2F4%29a=25%2F2
a=-2
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y=-2%28x-3%29%28x%2B2%29