The height of a diver jumping off a diving board can be modelled by the equation y = -2(x-1)^2 + 5, where y is the height in meters above the water and x is the time in seconds.

a) What is the maximum height reached by the diver?
b) When does the diver reach her maximum height?
c) How long is the diver in the air?
d) How far is the diving board above the surface of the water?​