Question

Need help asap!!!! On a bright sunny, day a toy rocket was launched from atop a platform. The altitude, h, in feet, of the rocket x seconds after it launched from the platform can be modeled by the function h(x)=−16x2+96x+112
PART A) Identify and explain the meaning of the y-intercept.

PART B) Identify and explain the meaning of the positive x-intercept.

PART C) Find the maximum height of the rocket.

PART D) Determine when the rocket will reach its maximum height.

Answer 1

This means that the rocket was launched from a platform 112 feet above the ground.

What is an equation

An equation is an expression showing the relationship between two or more variables and number.

h is the altitude of the rocket x seconds after it was launched.

Given the function:

h(x) = -16x² + 96x + 112

The y intercept is at x = 0:

h(0) = -16(0)² + 96(0) + 112 = 112 feet

This means that the rocket was launched from a platform 112 feet above the ground.

The x intercept is at h(x) = 0:

0 = -16x² + 96x + 112

x = 7

The x intercept shows the time the rocket touches the ground was 7 seconds.

Maximum height is at h'(x) = 0

-32x + 96 = 0

x = 3

h(3) = -16(3)² + 96(3) + 112 = 256 feet

The maximum height is 256 feet.

Find out more on equation at: brainly.com/question/2972832