A volleyball reaches its maximum height of 13 feet, 3 seconds after it's served. Which of the following quadratics could model the height of the volleyball over time after it is served. Select all that apply.

A. f(x) = 2x^2 + 12x + 5

B. f(x) = -2x^2 + 12x-5

C. f(x) = -2x^2-12x + 5

D. f(x)=2(x-3)^2+13

E. f(x)=-2(x+3)^2 + 13

3 answers

D. f(x)=2(x-3)^2+13

E. f(x)=-2(x+3)^2 + 13

These two options could model the height of the volleyball over time after it is served.
A rocket was launched into the air from a platform above the ground. The height, in feet, of the rocket above the ground t seconds after being thrown can be determined by the expression -16t^2 + 64t+ 80. What does the 80 in the expression represent?

A. The rocket lands on the ground after 80 seconds.

B. The maximum height of the rocket is 80 feet.

C. The rocket was launched from a platform 80 feet above the ground.

D. The rocket reaches a maximum height of 80 feet.
C. The rocket was launched from a platform 80 feet above the ground.

The 80 in the expression represents the initial height from which the rocket was launched, which is 80 feet above the ground.