A football is kicked and follows a path given by [math]f(x) = –0.03x^2 + 1.8x[/math], where [math]f(x)[/math] represents the height of the ball in feet and [math]x[/math] represents the horizontal distance in feet. What is the maximum height the ball reaches? What horizontal distance maximizes the height? Graph the function.
[list=1] [*]Determine the maximum height of the ball. [*]Determine the horizontal distance of the ball when it reaches its maximum height. [*]Graph the function. [/list]