SOLUTION: Form quadratic functions given the following information c f(x)>0 if and only if x is more then one but less than 5; its maximum value is 8.

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Question 1109710: Form quadratic functions given the following information
c
f(x)>0 if and only if x is more then one but less than 5;
its maximum value is 8.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
a%3C0 so the vertex is between x of 1 and 5; in fact vertex will be (3,8).

a%28x-1%29%28x-5%29%3E0

f%28x%29=a%28x-1%29%28x-5%29
a%283-1%29%283-5%29=8
a%2A2%2A%28-2%29=8
a=-2


Function is highlight%28-2%28x-1%29%28x-5%29%29

graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C-2%28x-1%29%28x-5%29%29