Modeling Quadratic

Which function best models the data?

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function. Which function best models the data?

• A

• B

• C

• D

A baseball coach records the height at every second of a ball thrown in the air. Some of the data appears in the table. Which equation is a quadratic model for the data?

• A

• B

• C

• D

The data can be modeled by the quadratic function

y = ​ (a)  

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. When does the rock hit the ground?

• 1.094 seconds

• 174.141 seconds

• 155 seconds

• 4.393 seconds

• None of the above

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the maximum height the rock reaches ?

• 1.094 ft

• 174.141 ft

• 155 ft

• 4.393 ft

• None of the above

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?

• 1.094 seconds

• 174.141 seconds

• 155 seconds

• 4.393 seconds

• None of the above

A projectile bottle rocket is launched in the air. How long does it take the projectile to reach the ground?

• 5.2 seconds

• 6.8 seconds

• 7 seconds

• 3 seconds