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.
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