Question

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(x) = -16t^2 + 48t where t equals the time in seconds and h(x) represents the height of the ball at time t seconds. What is the axis of symmetry and what does it represent?

Answer 1

x = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground

x = 1.5; it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground

x = 3; it takes 3 seconds to reach the maximum height and 3 seconds to fall back to the ground

x = 3; it takes 3 seconds to reach the maximum height and 6 seconds to fall back to the ground

Answer 2

Take the derivative and find the zero's.

Answer 3

axis of symmetry is also the x coordinate of the vertex.
use x = -b/2a
to find the x-coordinate of the vertex

Answer 4

in this case it is t , but they are just variables.

Answer 5

don't really need calc for this one