Question

How do you graph `y= 1/2sin 3 x`?

Answer 1

A general sine graph of form `y=AsinBx` has amplitude A and period `360^@/B`.

So in this case, `y=1/2sin3x` has amplitude `1/2` which is the maximum displacement from the x-axis, and period `T=360^@/3=120^@=(2pi)/3 rad` and represents the distance on the x-axis for 1 complete cycle.

So the graph becomes :

graph{1/2sin(3x) [-2.15, 2.175, -1.065, 1.099]}