What is the graph of #y=cos(x-pi/4)#?

1 Answer
Oct 17, 2015

Answer:

The same as graph of #cos(x)# but shifts all the point #pi/4# radians to the right.

Explanation:

The expression is actually saying:

Trace the curve of #cos(c)# backward until you reached the point on the x-axis of #x-pi/4# radians and note the value. Now move back to the point on the x-axis of #x# and plot the value you would have noted at #x-pi/4#.

My graphing package does not work in radians so I was forced to use degrees. #pi " radians" = 180^0 " so "pi/4 = 45^0#

Built by TonyB

The pink plot is the blue dotted plot transformed #pi/4# radians to the right. In other words it is #cos(x-pi/4)#