# How do you graph  y=5sin(x-30)?

Dec 5, 2017

Start with the basic $\sin \left(x\right)$ graph;
shift all points ${30}^{\circ}$ left to get $\sin \left(x - {30}^{\circ}\right)$;
then shift all points $5$ time further away from the X-axis to get $5 \sin \left(x - {30}^{\circ}\right)$
[I assumed the measures $x$ and $30$ were intended to be degrees; for the graphics software I use I need to express the argument of $\sin$ in terms of $\pi$ so I used the equivalence ${30}^{\circ} = \frac{\pi}{6}$]