Answer:f(x)=−4(x2−6x+9−9)−29
(x2−6x+9)=(x−3)(x−3)
f(x)=−4((x−3)2−9)−29
f(x)=−4(x−3)2−4(−9)−29
f(x)=−4(x−3)2+36−29
f(x=−4(x−3)2+7
f(x)=−4(x−3)2+7
That's the equation we got by completing the square.
y=a(x−h)2+k
That's the formula of a parabola in "vertex" form. Notice the similarity? The two are equal if we say
y=f(x)
a=−4
h=3
k=7
Therefore the answer is C, −4(x − 3)2 + 7; The maximum height of the water is 7 feet.hopes this helps
