SOLUTION: find the maximum y-value on the graph y = f(x) f(x)= -x^2+2x+5

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Question 723209: find the maximum y-value on the graph
y = f(x)
f(x)= -x^2+2x+5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the maximum y-value on the graph
y = f(x)
f(x)= -x^2+2x+5
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Since the coefficient of x^2 is negative, the parabol
has a maximum at it's vertex.
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vertex occurs where x = -b/(2a) = -2(2*-1) = 1
The y-value when x = 1 is f(1) = -1+2+5 = 6
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Ans: y = 6
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Cheers,
Stan H.