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The maximum point of the function f (x) = -2x2 + 4x + 6 is:
please help me

User GillesB
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1 Answer

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Explanation:

By Completing the Square,


\begin{align}f(x)&=-2x^2+4x+6\\&=-2(x^2-2x)+6\\&=-2(x^2-2x+1)+8\\&=-2(x-1)^2+8 \end{align}

Since the first tern is at most zero, the maximum value occurs when


x=1, f(x)=8

User Laurencer
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