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