Quadratic Applications Algebra

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
What is the maximum height of the ball?

• 126.56 ft

• 5.625 sec

• 2.81 sec

• 90 ft

How fast would you reach the water if you jump of a cliff using the formula:    h(t) = -16t² + 8t + 24?

• 8

• 1

• 1.5

• 1/4

Which of the following is fully simplified and equivalent to the square root shown?

• 
• 
• 
• 

Matt was doing an experiment and throwing balls off the roof of buildings with different heights. What is the difference in time that the balls reach the ground if given the functions h = -16t² + 784 and h = -16t² + 1296?

• 2 seconds

• 7 seconds

• 9 seconds

• 16 seconds

• 1

• 3

• 2

• 5

• 4

Which of the following represents a quadratic function?

A mathematician used data of the average gas mileage in new vehicles in Rome for the years 2012 to 2022 to create a quadratic function that models the data, where x is the number of years since 2012 and y is average gas mileage in miles per gallon. Some of the values are shown in the table.

During what years was the average gas mileage decreasing?

​ ​ (a)   <x<​ (b)  

• 2016

• 2022

• 2026

• 0

• 16

• 2021

• 9

• 10

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

A mathematician used data of the average gas mileage in new vehicles in Rome for the years 2012 to 2022 to create a quadratic function that models the data, where x is the number of years since 2012 and y is average gas mileage in miles per gallon. Some of the values are shown in the table. During what years was the average gas mileage decreasing?​ ​ (a)   <x<​ (b)  

• 2016

• 2022

• 2026

• 0

• 16

• 2021

• 9

• 10