Q:

3. [09.01] 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? (2 points) t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground t = 1.5; it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground t = 3; it takes 3 seconds to reach the maximum height and 3 seconds to fall back to the ground t = 3; it takes 3 seconds to reach the maximum height and 6 seconds to fall back to the ground

Accepted Solution

A:
Answer:t = 1.5; it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the groundStep-by-step explanation:The axis of symmetry of a parabola is halfway between the zeros.h(t) = -16t² + 48t0 = -16t² + 48t0 = -16t (t − 3)t = 0, t = 3The zeros are t = 0 and t = 3, so the axis of symmetry is t = 1.5.  That means it takes 1.5 seconds to reach the maximum height and another 1.5 seconds to return to the ground.