How do you find the period, amplitude and sketch #y=cos2pix#?

1 Answer
Jan 8, 2018

In #y = acos(b(x - c)) + d#:

#a# is the amplitude
#(2pi)/b# is the period
#c# is the phase shift, or horizontal transformation
#d# is the vertical transformation

Here, the amplitude is #1#. The period will be #(2pi)/(2pi) = 1#.

At #x = 0#, #y = 1# (a maximum) and at #x = 1/2#, #y = -1# (a minimum).

Use this to get the following graph:

graph{y = cos(2pix) [-10, 10, -5, 5]}

Hopefully this helps!