Answer:
A) 9 ft
B) 13 ft
C) 0.5 sec
Step-by-step explanation:
a) the initial height is given by the last term
b, c) to find the max height, you can graph it, or use the knowledge that the vertex of a parabola is at [tex]x = \frac{-b}{2a}[/tex]. in this instance, a is -16, and b is 16, so your equation looks like [tex]x = \frac{-(16)}{2(-16)}\\ x = \frac{-16}{-32}\\x = \frac{1}{2}[/tex]. so your max height is at x = 0.5, which is your answer to c. to find the max height, plug the x value in to find y.
[tex]y = -16(0.5)^{2}+16(0.5)+9\\ y = -16(0.25) + 16(0.5) +9\\y = -4+8+9\\y = 13[/tex]
