Question

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? (1 point)

t = 1.5; it takes 1.5 seconds to reach the maximum height of 48 meters
t = 3; it takes 3 seconds to reach the maximum height of 48 meters
t = 3; it takes 3 seconds to reach the maximum height of 36 meters
t = 1.5; it takes 1.5 seconds to reach the maximum height of 36 meters.

Answer 1

Last one

t = 1.5; it takes 1.5 seconds to reach the maximum height of 36 meters.

Explanation:

h(t) = −16t² + 48t

h(t) = -16(t² - 3t)

h(t) = -16(t² - 2(t)(1.5) + 1.5² - 1.5²)

h(t) = -16(t - 1.5)² + 36

Axis of symmetry:

t = 1.5

Max height = 36