# What are the important information needed to graph  y=tan((pi/2)x) ?

Jun 18, 2018

As below.

#### Explanation:

Form of equation for tangent function is $A \tan \left(B x - C\right) + D$

Given : $y = \tan \left(\left(\frac{\pi}{2}\right) x\right)$

$A = 1 , B = \frac{\pi}{2} , C = 0 , D = 0$

$\text{Amplitude " = |A| = "NONE" " for tangent function}$

$\text{Period } = \frac{\pi}{|} B | = \frac{\pi}{\frac{\pi}{2}} = 2$

Phase Shift " = -C / B = 0

$\text{Vertical Shift } = D = 0$

graph{tan ((pi/2)x) [-10, 10, -5, 5]}