An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph below is released at an angle of 55°, its height, f(x), in feet, can be modeled by f(x) =- 0. 02x^2 + 1.4x + 6.2 , where x is the shot's horizontal distance, in feet, from its point of release. Use this model to answer the following questions.
*How many feet away from the shot putter, along the ground, is the shot at the maximum height?
*What is the maximum height of the shot?
*What height was the shot released from the shot putter's hand?