algebra 1 NEED NOW!!! PLEASE HELPPP
posted by lisa on .
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

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 = (x2)^2
vertex, max height, when x = 2
then y/12 = 4 or y = 48 feet
y = 0 again when x = 4 seconds