Write an Equation for a Sine Curve That Has the Given

question 337

Multiple Choice

Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.
-Amplitude 6, period $\pi / 6$ , point $( 1 / 4,0 )$

• A) \(y = 6 \sin \left( \frac { \pi } { 6 } x - \frac { \pi } { 4 } \right)\)
• B) \(y = 6 \sin ( 12 x - 3 )\)
• C) \(y = 6 \sin \left( 12 x - \frac { \pi } { 4 } \right)\)
• D) \(y = 6 \sin \left( 6 x - \frac { 3 } { 2 } \right)\)

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