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 how does it relate to the time the ball is in the air?

a
t = 3; It takes the ball 3 seconds to reach the maximum height and 3 more seconds to fall back to the ground.

b
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 more seconds to fall back to the ground.

c
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 3 more seconds to fall back to the ground.

d
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 1.5 more seconds to fall back to the ground.