A soccer ball is kicked from ground level. The function y = - 12x (x - 6) shows the height in feet) of the

ball, where x is time (in seconds). After how many seconds will the ball hit the ground?

The ball will hit the ground in

seconds.

6 seconds

Step-by-step explanation:

Given

y = - 12x (x - 6)

When the ball hits the ground then height of ball is zero

let y = 0, that is

- 12x (x - 6) = 0

Equate each factor to zero and solve for x

- 12x = 0 ⇒ x = 0 ← when ball is first kicked

x - 6 = 0 ⇒ x = 6 ← when the ball hits the ground.

The ball hits the ground after 6 seconds