The quadratic function h=-0.01x^2+1.18x+2 models the height of a punted football. the horizontal distance in feet from the point of impact with the kickers foot is x, and h is the height of the ball in feet.

a. write the function in vertex form. what is the maximum height of the punt?

b. the nearest defensive player is 5ft horizontally from the point of impact. how high must the player reach to block the punt?

c. suppose the ball was not blocked but continued on its path. how far down the field would the ball go before it hit the ground?