# How do you graph #y=2cos(2x-pi)+2#?

##### 1 Answer

#### Answer:

First factor, then pick apart the equation.

#### Explanation:

Factor out

Then, before analyzing the equation, draw the root equation which is

Now start picking out the important stuff.

**Amplitude** :

*a* in the equation.

The amplitude of 2 will stretch

**Period** :

Find the period by looking at the second 2 in the equation.

Now calculate period:

Apply this to your graph, which will compress it from a period of

**Translations** :

The last 2 parts of graphing is the translations.

The first translation is a horizontal translation right

The second translation is a vertical translation up 2 units. Finally, move graph up 2 units.

If you think you may still have it wrong, refer to this handy tool for checking: https://www.desmos.com/calculator

Voila! All done!

Please correct me if I am wrong!