A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f ( x ), in feet, can be modeled by f(x)= 0.8x 2 + 2.

A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet, can be modeled by f(x)= −0.8x2+ 2.4x+ 6 , where x is the ball's horizontal distance, in feet, from where it was thrown. 

a.      What is the maximum height of the ball and how far from where it was thrown does this occur? 

b.      How far does the ball travel horizontally before hitting the ground? Round to the nearest tenth of foot. 

c.      Graph the function that models the ball's parabolic path.

Use the coordinate template below to draw the graph.