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Write an Equation for a Sine Curve That Has the Given

Question 284

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 π/6\pi / 6 , point (1/4,0) ( 1 / 4,0 )


A) y=6sin(π6xπ4) y = 6 \sin \left( \frac { \pi } { 6 } x - \frac { \pi } { 4 } \right)
B) y=6sin(12x3) y = 6 \sin ( 12 x - 3 )
C) y=6sin(12xπ4) y = 6 \sin \left( 12 x - \frac { \pi } { 4 } \right)
D) y=6sin(6x32) y = 6 \sin \left( 6 x - \frac { 3 } { 2 } \right)

Correct Answer:

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