Question

Graph f (x) = 3cos (4pix -pi/2) -2

Answer 1

wolframalpha is your friend. See

http://www.wolframalpha.com/input/?i=3cos+(4pix+-pi%2F2)+-2

f(x) = 3cos(4pi(x - 1/8) -2

So, it is just the graph of cos(x)
shrunk horizontally by a factor of 4pi
shifted right by 1/8
stretched vertically by 3
shifted down 2

Answer 2

Thank you