Question 73670
A penalty kick in soccer is made from a penalty mark that is 36 ft from a goal, that is 8 ft high. A possible equation for the flight of a penalty kick is 
h= -0.002x^2 + 0.35x where h is the height (in feet) of the ball x feet from the
 penalty mark. Assuming that the flight of the kick is toward the goal and that
 it is not touched by the goalie, will the ball land in the net?
:
h = -.002x^2 + .35x;
:
x is given as 36'
h = -.002(36^2) + .35(36)
:
h = -.002(1296) + 12.6
:
h = -2.6 + 12.6
:
h = 10' above the ground

The goal is 8' high, so it would clear the goal by 2 ft.
:
A graph would look like this:
{{{ graph( 300, 200, -10, 50, -10, 25, -.002x^2 + .35x) }}}