Write the Equation of a Sine Function That Has the Given

question 273

Multiple Choice

Write the equation of a sine function that has the given characteristics.
-Amplitude: 3
Period: $4 \pi$
Phase Shift: $\frac { \pi } { 4 }$

• A) \(y = 3 \sin \left( \frac { 1 } { 2 } x - \frac { 1 } { 8 } \pi \right)\)
• B) \(y = 3 \sin \left( \frac { 1 } { 2 } x + \frac { 1 } { 8 } \pi \right)\)
• C) \(y = 3 \sin \left( 2 x + \frac { 1 } { 8 } \pi \right)\)
• D) \(y = 3 \sin \left( 4 x + \frac { \pi } { 4 } \right)\)

---

Definitions:

Workers

Individuals engaged in a task or activity, especially in the context of employment, to earn wages or salary.

Marginal Cost

The excess cost that arises from the production of an extra unit of a product or service.

Marginal Product

The additional output that is produced by employing one more unit of a specific input, keeping all other inputs constant.

Output Levels

Refers to the quantity of goods or services produced by a company, sector, or economy within a specific period.