Posted by **lisa** on Monday, July 1, 2013 at 6:27pm.

The height of a soccer ball that is kicked from the ground can

be approximated by the function:

y = -12⋅x^2 + 48⋅x

where y is the height of the soccer ball in feet x seconds after it is kicked.

Find the time it takes the soccer ball to reach its maximum height: _____ seconds

What is the soccer ballâ€™s maximum height:___ feet

Find the time it takes from the moment the soccer ball is kicked until it returns to the ground: ____ seconds

- algebra 1 NEED NOW!!! PLEASE HELPPP -
**Damon**, Tuesday, July 2, 2013 at 12:06am
y = -12 x^2 + 48 x

complete square to find vertex

-y/12 = x^2 - 4 x

-y/12 + 4 = x^2 - 4 x + 4

-y/12 + 4 = (x-2)^2

vertex, max height, when x = 2

then y/12 = 4 or y = 48 feet

y = 0 again when x = 4 seconds

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