Honestly, you can just make an (x, y) table, select different points for x to find y values and then graph your points on the xy-plane.
To use trig, the first thing to do is find out how much 4x varies between 0 and 2π.
Why 2π? Basically because the sine function is periodic with 2π. This means the sine function
repeats itself on the xy-plane every 2π units to the left and right of the origin without end.
Dividing each term by 4 we get the following:
There has been no phase shift. Look at the zeros on the left side of each inequality and you will see that we went from 0 to 0 = no phase shift.
The period is: 
In this sample, the given function is periodic with π/2.
Let x = the following values:
I gave you more than 3 values.
Select the x values you like and simplify using a calculator to find the y values.
Afterward, graph your three points in the (x, y) form on the xy-plane.