Write the Equation of a Sine Function That Has the Given

question 337

Multiple Choice

Write the equation of a sine function that has the given characteristics.
-Amplitude: 3
Period: $5 \pi$
Phase Shift: $- \frac { \pi } { 5 }$

• A) \(y = 3 \sin \left( \frac { 2 } { 5 } x + \frac { 2 } { 25 } \pi \right)\)
• B) \(y = 3 \sin \left( \frac { 2 } { 5 } x - \frac { 2 } { 25 } \pi \right)\)
• C) \(y = 3 \sin \left( \frac { 5 } { 2 } x - \frac { 2 } { 25 } \pi \right)\)
• D) \(y = 3 \sin \left( 6 x - \frac { \pi } { 6 } \right)\)

---

Definitions:

Illness

A state of poor health, involving a condition of disease or ailment that affects the body or mind.

Death

The cessation of all biological functions that sustain a living organism.

Fourteenth Century

The period from 1301 to 1400 in the Gregorian calendar, significant for its historical, cultural, and societal developments.

Europe's Population

The total number of people living in Europe, encompassing diverse demographics and density variations across its countries.