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

question 65

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) \(\text { period: } \pi / 3 \text {, shift: } \pi / 6 \text { to the left }\)

---

Definitions:

Pneumothorax

A medical condition where air or gas collects in the chest or pleural space, causing the lung to collapse.

Expiratory Crackles

Abnormal lung sounds heard during the end of the breathing cycle, suggestive of various conditions.

Absence of Breath Sounds

A condition where no sounds from breathing are heard upon auscultation, indicating potential respiratory distress or pathology.

Wheezes

High-pitched sounds produced during breathing, often indicating obstruction or narrowing of the airways.