Question

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

Answer 1

`y` has the standard graph of `sinx` with peak-amplitude scaled by 3 units and period extended ("stretched") to `4pi`.

Explanation:

`y =3sin(x/2)`

`y = 3 xx sin theta`: where `theta = x/2`

Hence, the graph `y` is the standard graph of `sinx` with peak-amplitude scaled by 3 units and period extended ("stretched") to `4pi`.

As can be seen in the graph of `y` below.
graph{3sin(x/2) [-14.24, 14.24, -7.12, 7.12]}