Quadratic Functions Solutions and Word Problems

You are cliff diving with some friends. Your path to the water is modeled by h(t) = -16t^2 + 8t +24. How long will it take for you to hit the water? What are you solving for?

• roots

• axis of symmetry

• y-value of the vertex

• y-intercept

A model rocket is launched from the ground and it's path is modeled by the function h(t) = -16t² + 96t. What are you solving for?

• x-intercept

• y -intercept

• vertex

• axis of symmetry

A dolphin jumps from the water. The function h(t) = -16t² + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps? What are you solving for?

• solutions

• y-intercept

• axis of symmetry

• y-value of the vertex

An object in launched in the air is modeled by the function

s(t) = –16t² + 64t + 80, where t is the time in seconds. From what height was the object launched? What are you solving for?

• zeros

• axis of symmetry

• y-intercept

• y-value of the vertex

The sum of a number and its square is 72. Find the number(s).

• 8 or 9

• 8 or -9

• -8 or 9

• -8 or -9

A ball is thrown into the air. Its height in feet after t seconds is given by the function h(t) = –5t² + 20t. How high will the ball be after 3 seconds?

• 20 ft

• 15 ft

• 5 ft

• 10 ft

The height of a ball that is thrown into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

• 2 meters

• 4 meters

• 5 meters

• 8 meters

If a toy rocket is launched from the ground and its height h after t seconds is given by the function h(t) = -8t² +64t.

When will the object reach its maximum height?

• 128 ft

• 0 seconds

• 0 ft

• 4 seconds

If you jump off a cliff and your path is modeled by the function, h(t) = -16t² + 8t + 24, where t is time in seconds, how long would it take you to reach the water?

• .25 sec

• 1 sec

• 1.5 sec

• 2 sec

A soccer ball is kicked from the ground and its path is modeled by the function h(t)= -t² + 5t, where t is time in seconds. What is the maximum height of the ball?

• 5 ft

• 6.25 ft

• 18.75 ft

• 2.5 ft