SOLUTION: What is the maximum function value of f(x)=-1/4x^2+2x-3

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Question 1085588: What is the maximum function value of f(x)=-1/4x^2+2x-3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to get to vertex form.
f%28x%29=-x%5E2%2F4%2B2x-3
f%28x%29=-%281%2F4%29%28x%5E2-8x%29-3
f%28x%29=-%281%2F4%29%28x%5E2-8x%2B16%29-3%2B%281%2F4%29%2816%29
f%28x%29=-%281%2F4%29%28x-4%29%5E2-3%2B4
f%28x%29=-%281%2F4%29%28x-4%29%5E2%2B1
The maximum value (since there is a negative multiplier for the quadratic term) is the vertex value,
y%5Bmax%5D=1
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