Question

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

Answer 1

Start with the basic `sin(x)` graph;
shift all points `30^circ` left to get `sin(x-30^circ)`;
then shift all points `5` time further away from the X-axis to get `5sin(x-30^circ)`

Explanation:

[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=pi/6`]

Here is the step-by-step development: