Question

An air force pilot is flying at a cruising altitude of 9000 feet and is forced to eject from her aircraft. The function h(t)=-16t+128t+900. Determine and state the vertex of h(t)

Answer 1

(t, h(t)) = (4, 9256)

Explanation:

We assume you intend the h(t) function to be ...

h(t) = -16t^2 +128t +9000

The equation can be written in vertex form as follows:

h(t) = -16(t^2 -8t) +9000

h(t) = -16(t^2 -8t +16) +9000 -(-16)(16) . . . . add and subtract -16(16) to complete the square

h(t) = -16(t -4)^2 +9256 . . . . . vertex form of the height function

The vertex of h(t) is (4, 9256), an altitude of 9256 feet after 4 seconds.