A tennis ball was hit into the air. The height of the tennis ball in feet (h) with respect to how far the ball traveled horizontally in feet (d) can be modeled by the quadratic function, h = -d2 + 8d+4.

Enter the maximum height, in feet, of the tennis ball.

feet

20m

Step-by-step explanation:

Given the height reached by the ball modelled by the equation

h = -d² + 8d+4.

The velocity of the balk at its maximum height is 0. Hence

v = dh/dd = 0

v = -2d + 8

0 = -2d+8

2d =8

d =8/2

d = 4

Substitute d = 4 into the equation to get the maximum height reached

h = -(4)² + 8(4)+4

h =-16+32+4

h = -16+36

h = 20

Hence the maximum height reached by the ball is 20m

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step-by-step explanation:

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