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

Aug 27, 2015

Draw the graph for $y = \sin \left(\theta\right)$ 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 $\frac{3 \pi}{4}$ shifted left to $0$.
If we let $\sin \left(x - \frac{3 \pi}{4}\right) = \sin \left(\theta\right)$
$\theta = 0$ will need to match up with $x = \frac{3 \pi}{4}$