Use completing the square to describe the graph of the following function. Support your answer.

Question

f(x)=-2x^2+4x+1

Answer 1

-2x^2+4x+1

= -2(x^2 - 2x + .....) + 1
= -2(x^2 - 2x +1 -1) + 1
= -2( (x-1)^2 - 1) + 1
= -2(x-1)^2 + 3

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