The height hin feet of an object above the ground is given by function h(x)=−4x^2−2x+8. What is maximum value of h.

Question

H=___?___feet

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Answer 1

The graph of y = Ax² + Bx + C where A < 0 is a parabola opening downward. The maximum value of y occurs at the vertex, which has x-coordinate -B / (2A).

So, for h(x) = -4x² - 2x + 8, the maximum occurs when x = -(-2) / [2(-4)] = -1/4

Maximum value of h is h(-1/4) = -1/4 + 1/2 + 8 = 8.25