Answer
See graph and explanations.
Work Step by Step
Step 1. The root function is $y=tan(x)$ which has a period of $p=\pi$
Step 2. Start from $y=tan(x)$ (shown as the green curve), shift the curve $\frac{\pi}{6}$ to the right, stretch vertically by a factor of 2, and then shift the result up 1 unit to get the red curve for $y=2tan(x-\frac{\pi}{6})+1$
