1. 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. (2 points)
−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.
2. In the function f(x) = 4(x2 − 6x + [blank] ) + 20, what number belongs in the blank to complete the square?

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For #2, I think the blank is 9, for #1, I'm totally confused.

Thank you so much! Can you please check if 9 is the answer to #2?

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