Answer:
The maximum height of the rocket is 64 ft.
Step-by-step explanation:
The -t^2 term tells us that the graph of this function is a parabola that opens down. The x-coordinate of the axis of symmetry is
-b
x = -----------
2a
which here is:
-32
x = ------------ = 1
2(-16)
The value of this function at t = 1 is
h(1) = -16(1)^2 + 32(1) + 48, or 64 ft
The maximum height of the rocket is 64 ft.
