Cathy is standing off to the side, watching the golf tournament. She sees her friend about to tee off. Mark connects with the ball as Cathy watches the ball follow a parabolic path into the air. After a couple of seconds, she must turn her head as the sun's rays were too bright to watch the entire path of the ball. Cathy can see the ball again when it travelled 120 m and is 16 m in the air. The ball lands on the ground 150 m from the tee. (No decimals permitted.)

a) Sketch and determine the vertex form equation for the path of the golf ball.