How do you graph y=-4+2sin3x?

May 1, 2017

We can consider transformations with this.

Firstly, consider the sketch of y = sinx

The function y = sin3x is a horizontal squash factor of 1/3

The function y = 2sin3x is a vertical stretch by a factor of 2

The function y = -4 + 2sin3x is a vertical translation of 4 units down

Red -> Blue -> Green

:)>

See the sketch below: