Answer
Period $= \pi$
See graph below
Work Step by Step
For a function $f(x) = a \tan c (x - h) + k$
The period will be $\frac{ \pi}{|c|}$
The horizontal shift will be h units
The vertical shift will be k units
The question asks for the period, horizontal shift, and graph of the function.
Given $y = \frac{-3}{2} \tan x$
The period will be $\frac{\pi}{|1|} = \pi$
No horizontal shift
No vertical shift.
See graph below
