How do you graph $y = - 4 + 2 sin 3 x$ $y=-4+2sin3x$ ?

Question

2504 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-01T10:11:18

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:
Desmos Graphing

How do you graph y=-4+2sin3xy=−4+2sin3xy=-4+2sin3x?