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

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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