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

question 43

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) \(\text { period: } \frac { \pi } { 3 } \text {, shitt: } \frac { \pi } { 6 } \text { to the left }\)

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