State whether the function y=-2x^2-8x+17 has a maximum or minimum value and identify the coordinates of the vertex.

1 answer

-2x^2-8x+17
= -2(x^2+4x) + 17
= -2(x^2+4x+4) + 17 + 2*4
= -2(x+2)^2 + 25

Now just read off the vertex.
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