Find the Period and the Shift for the Function $y = 2 \cot \left( 3 x - \frac { \pi } { 2 } \right)$

Multiple Choice

Find the period and the shift for the function $y = 2 \cot \left( 3 x - \frac { \pi } { 2 } \right)$

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