Question

a missile is launched from the ground. its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
after 1 second, the missile is 112 feet in the air; after 2 seconds, it is 208 feet in the air.
the height of the can be represented by this function:
h(x) = -8x² + 120x
find the height, in feet, of the missile after 4 seconds in the air.
enter the correct answer.

Explanation:

Step1: Substitute x=4 into h(x)

$h(4) = -8(4)^2 + 120(4)$

Step2: Calculate squared term and products

$h(4) = -8(16) + 480$

Step3: Compute final value

$h(4) = -128 + 480$

Answer:

352