Modeling With Quadratic Function

What is the equation, in standard form, of a parabola that models the values in the table?

• y = 2x² + 6x - 4

• y = -4x² - 6x + 2

• y = 4x² + 6x - 2

• y = 6x² + 4x - 2

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

• 2 ft

• 80 ft

• 144 ft

• 64 ft

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds

What is the equation, in standard form, of a parabola that contains the following points?

• y = -2x² + 3x - 4

• y = 2x² - 3x + 4

• y = -3x² + 2x + 4

• y = -4x² - 3x - 2

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

• B

• C

• D

• 
• 
• 
• 

• F

• G

• H

• J

• A

• B

• C

• D