Mike was playing golf at Hartford Golf Club. He hit the shot from the 4th tee which was 7 yards above the ground level. Mike's shot took a quadratic flight. At a horizontal distance of 60 yards from the 4th tee, the height of his ball was 32 yards. His shot landed at 200 yards from the tee in a sand trap (ground level). Let x be the horizontal distance from the 4th tee and y be the height.
(a) What is the function of the flight of his ball? (Please round to 2 decimal places).
(b) Sketch a graph of the equation from a). Be sure to give ranges for the x- and y- axes.
(c) How high did his shot go?
(d) What is the significance of the y-intercept?