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

can you graph the equation on a calculator?

Answer 3

if not, the a.o.s. formula is \[\frac{ -b }{ 2a }\] where in this case, b would be 48 and a would be -16, so plug in the values

Answer 4

that is the formula if the equation is in standard form of a parabola.