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

The graph is y = tan x graph that is laterally moved in the positive x-direction, through $\frac{\pi}{3}$ units.
The asymptotes are $x = \frac{\pi}{3} + \left(2 k - 1\right) \frac{\pi}{2} , k = 0 , \pm 1 , \pm 2 , \pm 3. . .$, parallel to the y-axis, asymptotic to neighboring branches, in opposite directions.
The branches cut the x-axis at, $x = \frac{\pi}{3} + k \pi , k = 0 , \pm 1 , \pm 2 , \pm 3. . .$,