Modeling Quadratics

Tyler wants to know how high the soccer ball will get if he kicks it straight up in the air.

Which one are we looking for?

• x at vertex

• y at vertex

• positive zero

Jesse found the maximum height of a basketball thrown from half court to be 21 feet and wants to know how long it took to get there. Which one are we looking for?

• x at vertex

• y at vertex

• positive zero

• A

• B

• C

• D

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?

• F

• G

• H

• J

An experiment examined the relationship between the number of miles a car traveled, y, per gallon of gasoline and the speed of the car, x, in miles per hour. The table displays the data collected.

A quadratic function can be used to model the data in the table. Which value best estimates the miles per gallon when the speed is 65 miles per hour?

• 27.9

• 31.0

• 40.2

• 24.9

The scatterplot and table show the weekly profit in dollars earned from the sale of pastries at seven different prices. The data can be modeled by a quadratic function.

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