Question

how to graph y=2sin 1/3 x

Answer 1

\[y=2\sin \frac{ 1 }{ 3 }x\]

Answer 2

Well, there's a horizontal expansion by a factor of 3 and a vertical expansion by a factor of 2.

If you can draw \(y=\sin x\), you just need to expand in these directions.

Answer 3

so the amplitude is 2, the vertical shift would be... 3?

Answer 4

There are no transformations/'shifts' here. That only happens when you're adding/subtracting.

The amplitude is 2, yes, and the graph should be stretched horizontally by 3.