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) \(y = 3 \sin \left( 4 x + \frac { \pi } { 4 } \right)\)

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Definitions:

Bone

A rigid organ that constitutes part of the vertebrate skeleton, providing structure, protection to the body, and aiding in movement.

Calcitonin

A hormone secreted by the thyroid gland that helps regulate calcium levels in the body by inhibiting bone breakdown and calcium release.

Parathyroid Hormone

An agent generated by the parathyroid glands, tasked with managing the amount of calcium in the blood and the metabolism of bones.

Calcitonin

A hormone produced by the thyroid gland that helps regulate blood calcium levels by lowering them when too high.