An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 55, its height, f(x), in feet, can be modeled by f(x) = - 0.02x + 1.4x + 6.3, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. Shot Put's Height 20 40 60 80 100 Shot Put's Horizontal Distance a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is , which occurs |feet from the point of release. (Type an integer or decimal rounded to four decimal places as needed.)