Find the Period and the Shift for the Function $y = 2 \cot ( 3 x - \pi / 2 )$

Multiple Choice

Find the period and the shift for the function $y = 2 \cot ( 3 x - \pi / 2 )$

A) $\text { period: } \pi / 3 \text {, shift: } \pi / 6 \text { to the right }$
B) $\text { period: } 2 \pi / 3 \text {, shift: } \pi / 6 \text { to the right }$
C) $\text { period: } \pi / 3 \text {, shift: } \pi / 2 \text { to the left }$
D) $\text { period: } 3 \pi \text {, shift: } 3 \pi / 2 \text { to the right }$
E) $\text { period: } \pi / 3 \text {, shift: } \pi / 6 \text { to the left }$