What is the horizontal displacement of the basic graph to produce a graph of y=pi-3cos (x-2) ?

a) pi units right

b) 3 units left

c) 2 units right

d) 2 units left

y = a sin b (x±h) ± k

a : amplitude = > take absolute value

b : angular frequency

h : horizontal shift (phase shift). ( + left, - right)

k : mid. line or vertical shift ( + up, - down)

period: the length of one cycle

period = 2π/b (for sines, cosines. if tangent : p = π/b)