How do you graph #f(x)=Cos( x + pi/4 ) #?

1 Answer
Nov 14, 2016

See explanation.

Explanation:

#"Amplitude" = 1#

#"Period" = (2pi)/b = (360^@)/b#

#(360^@)/1 = 360^@ "/cycle"#

#"Phase Shift" = -b/c#

#-pi/4 * 1/1 = - 45^@# phase shift

Make a list of points for every #30^@#, like #pi/6#, #pi/3#, #pi/2#, until you reach #360^@#. Plot these points as you normally would for reference and then adjust each point #45^@# to the left.

A negative phase shift you'll move the plotted points to the left a positive phase shift adjusts the plotted points to the right.