Applications of Quadratic Functions

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

• 0.25 ft

• 24 ft

• 25 ft

• 8 ft

A ball is thrown off of a balcony that is 12 feet high. The initial velocity of the ball is 8 ft/s.

Which quadratic function models the height of the ball t seconds after it is thrown?

A rocket is launched from a platform that is 50 feet above the ground. The initial velocity is 320 feet per second.

Which quadratic function models the height of the rocket t seconds after the launch?

• 2 seconds

• 3 seconds

• 5 seconds

• 8 seconds

• 5 m

• 30 m

• 47 m

• 37 m

Does the equation open up or down? 
Y = -3x² +7x - 2

• up

• down

• Neither; it opens to the right.

• Neither; it opens to the left.

What is the maximum/minimum of a parabola called?

• vertex

• point

• top

• bottom

An object flies through the air and follows a parabolic path. What does the y-axis represent?

• time

• height from the ground

• horizontal distance

• money

An object flies through the air and follows a parabolic path. Which of these typically represents the x-axis? 

• time 

• height from the ground 

You are trying to dunk a basketball. You need to jump 2.5 feet in the air to dunk the ball. The height that your feet are above the ground is given by the function:
h(t) = -16t² + 12t
Will you be able to dunk the basketball?

• Yes

• No

• As long as I'm wearing Air Jordans