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.

−4(x − 3)^2 − 29; The maximum height of the water is 3 feet.
−4(x − 3)^2 − 29; The maximum height of the water is 29 feet.
−4(x − 3)^2 + 7; The maximum height of the water is 7 feet.
−4(x − 3)^2 + 7; The maximum height of the water is 3 feet.

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.

−4(x − 3)^2 − 29; The maximum height of the water is 3 feet.
−4(x − 3)^2 − 29; The maximum height of the water is 29 feet.
−4(x − 3)^2 + 7; The maximum height of the water is 7 feet.
−4(x − 3)^2 + 7; The maximum height of the water is 3 feet.

boldjon · Answer

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. 
f(x) = -4x^2 + 24x - 29 
Answer choice:. 
c.) -4(x - 3)^2 + 7; The maximum height of the water is 7 feet.