Quadratics Initial Height

How long did it take to reach highest point over the water?

• 8 meters

• 1 meter

• 1 second

• 8 seconds

Does this graph have a maximum or minimum?

• Minimum

• Maximum

An object in launched directly upward and the height of the object is represented by the equation s(t) = –16t² + 64t + 80. What is the maximum height?

• 144 feet

• 80 feet

• 16 feet

• -16 feet

An object is launched upward and the height of the object is represented by the equation s(t) = –16t² + 64t + 80. How long does it take for the object to hit the ground after it has been launched?

• 2 seconds

• 5 seconds

• 80 seconds

• 0 seconds

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down?

• 10 feet 

• 19 feet

• 13 feet

• 16 feet 

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?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

What is the maximum value of the function shown?

• 4

• 3

• 1

• -3

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

• The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

• The ball was kicked from the ground and it was in the air for 4 seconds.

• The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

• The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation h = -2t² + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

• 2

• 4

• 9

• 10

• 15