Help pleaseee!

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.

−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

Help pleaseee!
 
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.

 −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.

anonymous · Answer

okay kaitlyn i gotchu i'm drawing the steps out

triciaal · Answer

divide by -4 and leave x terms on left
(x-3)^2 = x^2-6x +9 so -9 from each side to keep balance
multiply by 4 and rewrite
-4(x-3)^2 + 7

triciaal · Answer

i think the height would be 7

anonymous · Answer

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