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.
-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 29feet.
-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.

Answer 1

Yo don't need  max height
yo use 'find vertex' equestion


since leading term is negative, this equation has a max

the vertex is the max
in the form
y=ax^2+bx+c
vertex=-b/2a

-4x^2+24x-29
a=-4
b=24

vertex=-24/(2*-4)=-24/-8=3

max height is 3 feet
dunno wat the compete square is

I can do that fo ou though
move -29 off to side and undistriute -4
-4(x^2-6x)-29
complete the square, take 1/2 of -6 an square it andadd 0
-4(x^2-6x+9-9)-29
complete square
-4((x-3)^2-9)-29
move the 9 out by distributing the -9 to the -4
36
-4(x-3)^2+36-29
-4(x-3)^2+7

answer is 3rd option