Find the Amplitude, Period, and Phase Shift of the Function $y = 2 \cos \left( \frac { 1 } { 2 } x - \frac { \pi } { 6 } \right)$

question 82

Multiple Choice

Find the amplitude, period, and phase shift of the function. $y = 2 \cos \left( \frac { 1 } { 2 } x - \frac { \pi } { 6 } \right)$

• A) Amplitude 1/2, Period \(4 \pi\), phase shift \(\pi / 3\)
• B) Amplitude 1/2, Period \(2 \pi\), phase shift \(\pi / 3\)
• C) Amplitude 2, Period \(\pi\), phase shift \(\pi / 6\)
• D) Amplitude 2, Period \(4 \pi\), phase shift \(\pi / 6\)
• E) Amplitude 2, Period \(4 \pi\), phase shift \(\pi / 3\)

---

Definitions:

Deep-brain Stimulation

A medical treatment involving the implantation of a device that sends electrical impulses to specific parts of the brain to treat neurological disorders.

Electrodes

Conductive pads or probes used to measure electrical activity in the body or to deliver electrical stimulation.

Cortex

refers to the outer layer of the brain involved in numerous higher-level functions including thought, memory, consciousness, and language.

Eye Socket

The bony structure surrounding the eye, providing it with protection and support within the skull.