The height of a soccer ball that is kicked from the ground can be approximated by the function:y = -12x^2 + 48x where y is the height of the soccer ball in feet x seconds after it is kicked. What is the soccer ball's maximum height in feet?
If you find the vertex, you will have the highest point.
One way to find the vertex is to complete the square:
y = -12x2 + 48x
y = -12(x2 - 4x)
y = -12(x2 - 4x + 4) + 48
y = -12(x - 2)2 + 48
When x = 2 the height will be y = 48.