Question

What are the important information needed to graph `y= tan(x- pi/3)`?

Answer 1

The graph is y = tan x graph that is laterally moved in the positive x-direction, through `pi/3` units.

Explanation:

The asymptotes are `x= pi/3+(2k-1)pi/2, k=0, +-1, +-2, +-3...`, parallel to the y-axis, asymptotic to neighboring branches, in opposite directions.

The branches cut the x-axis at, `x=pi/3+kpi, k=0, +-1, +-2, +-3...`,