How do you graph #y = sin(x -3pi/4)#?

1 Answer
Aug 27, 2015

Answer:

Draw the graph for #y=sin(theta)# using a Y-axis and a #theta#-axis;
then replace the #theta#-axis with an x-axis using the same scale as the #theta#-axis but with #(3pi)/4# shifted left to #0#.

Explanation:

If we let #sin(x-(3pi)/4) = sin(theta)#
then the period and amplitude remain the same
but
#theta=0# will need to match up with #x=(3pi)/4#