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) = -0.6x2 + 2.7 x + 6
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) and (b).
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?
Express your answers in feet, rounded to the nearest tenth as needed. Check the solutions show your work