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?

a. t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground
b. t = 1.5; it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground
c. t = 3; it takes 3 seconds to reach the maximum height and 3 seconds to fall back to the ground
d. t = 3; it takes 3 seconds to reach the maximum height and 6 seconds to fall back to the ground

Respuesta :

h(t) = - 16t^2 + 48t

factor

16t(3-t)

The vertex is in the middle of t =0 and t =3, ⇒ t = 1.5

That is the symmetry axis, t =1.5

It represents the time at which the ball stops going up and starts going down, this is where it reaches the maximum height.

Answer : a. t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground