# How do you graph and list the amplitude, period, phase shift for #y=cos(-3x)#?

##### 1 Answer

#### Answer:

The function will have an amplitude of

#### Explanation:

Graphing the function is as easy as determining those three properties and then warping the standard

Here is an "expanded" way to look at a generically shifted

The "default" values for the variables are:

It should be obvious that these values will simply be the same as writing

With these in mind, we can see that the function given has only had its period changed. Other than this, the amplitude and phase are unaltered.

Another important thing to note is that for

So the

Thus, the function will have an amplitude of

graph{cos(3x) [-10, 10, -5, 5]}