An athlete whose event is the shot put releases the shot. When the shot is released at an angle of 20​°, its​ height, y, in​ feet, can be modeled by y=-0.01x^2+0.4x+5.9, ​, 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.