Question

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

Answer 1

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`