Answer
The amplitude is 1.
The period is $\frac{2\pi}{b}=\frac{2\pi}{3}$.
There is no vertical translation as $c=0$.
There is no phase shift as $d=0$.
Work Step by Step
We first write the equation in the form $y=c+a \tan [b(x-d)]$. Therefore, $y=\tan (3x)$ becomes $y=0+1\tan [3(x-0)]$.
Comparing the two equations, $a=1,b=3,c=0$ and $d=0$.
The amplitude is $|a|=|1|=1.$
The period is $\frac{2\pi}{b}=\frac{2\pi}{3}$.
There is no vertical translation as $c=0$.
There is no phase shift as $d=0$.
