# How do you find the amplitude and period of a function #y=3 tan (4x-pi/3)#?

##### 1 Answer

The amplitude is 3, and the period is (

#### Explanation:

All tangent functions take the form of the following:

**y = a tan b x**

The variable ** a is the amplitude** (max-min/2; the length above and below the x-axis the graph goes),

**the variable b represents the amount of cycles**(a cycle is one pattern that is repeated in the function), and

*x*is the variable that stays unknown when graphed (unless when being solved for by graphing).

To find the amplitude, simply look at *a*. In this case, the amplitude is 3, since it is the **number before tan** and takes the spot of *a*.

To find the period, **divide #pi# by b** (

*b*value, and put

*b*in this example, and since there is no way to simplify that, the period is

**(Hint: use the expression**#pi# / b)

Hope this helped! :)