Question

The function f(x) = − (x − 1)2 + 8 models the path of a volleyball. The height of the net is 7 ft. 4 in. Will the ball go over if the player is 2 ft. from the net? 4 ft., from the net? Explain.

Answer 1

Given:

• height of net = 7ft 4 in

If the player is 2ft from the net:

f(2) = -(2 - 1)² + 8 = 7

As 7 ft < 7 ft 4 in, the ball will NOT go over the net

If the player is 4ft from the net:

f(4) = -(4 - 1)² + 8 = -1

As -1 ft < 7 ft 4 in, the ball will NOT go over the net