Quadratic Functions and Equations Final

• Time in seconds.

• Distance in meters.

• Velocity in m/s.

• Acceleration in m/s².

• The maximum height is 9 feet.

• The maximum height is 12 feet.

• The maximum height is 6 feet.

• The maximum height is 15 feet.

• -.7

• -4.3

• -2.5

• 2.5

The function h(t) = -16t² + 64t + 64 models height in feet of an object launched upward from a tall platform, where t is the elapsed time in seconds since the object's launch. What is the maximum height reached by the object? How did you determine this value?

• 80 feet, by finding the vertex of the parabola

• 64 feet, by evaluating the function at t = 0

• 128 feet, by calculating the initial height plus the maximum increase

• 96 feet, by solving for the time when the velocity is zero

The function h(t) = -16t² + 64t + 64 models height in feet of an object launched upward from a tall platform, where t is the elapsed time in seconds since the object's launch. What was the initial height of the object above the ground before its launch?

• 64 feet

• 80 feet

• 128 feet

• 0 feet

• x = 18 or x = -11

• x = 21 or x = -14

• x = 15 or x = -10

• x = 22 or x = -15

• 4.6, -4.5

• -4.6, 4.5

• -4.6, -4.5

• 4.3, -4.4

• x = 1

• x = 2.33

• x = -.08

• 3.25

• x = 0.5 or x = 3

• x = -0.5 or x = 3

• x = 1 or x = 2

• x = -1 or x = 2

• x ≈ 2.764

• x ≈ 7.236

• x ≈ 10.477

• x ≈ -.477