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The image you attached doesn't show all the answer choices. I don't know if you meant to do that or not. Anyways, the answer that is shown seems to be the right one.
irspow
y=-2x^2+3

dy/dx=-4x

d2y/dx2=-4

Since acceleration is a negative constant, when velocity is equal to zero, it is an absolute maximum for y.

So this is a parabola that opens downward with a maximum point, and vertex located at (0,3) 

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