Write the Equation of a Sine Function That Has the Given

question 121

Multiple Choice

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

• A) \(y = 5 \sin ( x - 3 )\)
• B) \(y = \sin ( 5 x + 3 )\)
• C) \(y = 5 \sin ( 2 x + 6 )\)
• D) \(y = 5 \sin \left( \frac { 1 } { 2 } x - 6 \right)\)

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Definitions:

Island Arc

A curved chain of volcanic islands located at a tectonic plate margin, typically formed above a subducting plate.

Mid-Ocean Ridge

An underwater mountain range, formed by plate tectonics, featuring peaks separated by valleys with a central rift valley that forms at divergent plate boundaries.

Subduction

A geologic process where one tectonic plate moves under another, sinking into the earth's mantle.

Caldera

A vast crater on a volcano, often resulting from a major eruption and subsequent collapse of the volcano's opening.