# How do you graph and list the amplitude, period, phase shift for #y=cos(2x)#?

##### 1 Answer

#### Answer:

Below

#### Explanation:

This equation can be placed in the general form:

From

We can tell immediately that the amplitude is 1 ie

The Period is found by

Since

Now all you have to do is to graph your equation. What the period tells you is how long it takes to finish one cycle. So if the period is pi, then you draw the ENTIRE cos graph from

For example below is

ie graph{cosx [-10, 10, -5, 5]}

Now check out

graph{cos(2x) [-10, 10, -5, 5]}

You will hopefully notice that the two cosine graphs are found in the (2) than (1)

And now check out

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

You will notice that there are 3