Question

The height of water shooting from a fountain is modeled by the function f(x) = -4x2 + 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.

Answer 1

Explanation:

f(x) = -4x^2+24x-29

= -4(x^2-6x)-29

= -4(x-3)^2 -4(-9) -29

= -4(x-3)^2 +36-29

= -4(x-3)^2 +7

maximum height = 7m