Question

The height of water shooting from a fountain is modeled by the function f(x) = −4x^2 + 24x − 29 where x is the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water.

A. 4(x − 3)^2 − 29; The maximum height of the water is 3 feet.

B. −4(x − 3)^2 − 29; The maximum height of the water is 29 feet.

C. −4(x − 3)^2 + 7; The maximum height of the water is 7 feet.

D. −4(x − 3)^2 + 7; The maximum height of the water is 3 feet.

Answer 1

C