# How do you graph and list the amplitude, period, phase shift for y=2/3tan(theta/3)?

Mar 21, 2018

$\tan \left(\theta\right) \text{ function doesn't have amplitude}$

$\text{Period } = 3 \pi$

$\text{Phase Shift " = 0, " Vertical Shift } = 0$

#### Explanation:

Standard Form $y - a \tan \left(B x - C\right) + D$

Given $y = \left(\frac{2}{3}\right) \tan \left(\frac{\theta}{3}\right)$

$A m p l i t u \mathrm{de} = | A | = \text{None}$ as $\tan \left(\theta\right) \text{function doesn't have amplitude}$

$\text{Period } = \frac{\pi}{|} B | = \frac{\pi}{\frac{1}{3}} = 3 \pi$

$\text{Phase Shift } = - \frac{C}{B} = 0$

$\text{Vertical Shift } = D = 0$
graph{(2/3)tan(x/3) [-10, 10, -5, 5]}