Which transformation was not performed on y=\sin x to obtain $y=-2 \sin \left(3 x+\frac{\pi}{3}\right) ?$
A) $\text { Horizontal shift left } \frac{\pi}{9} \text { units }$
B) Horizontal stretch by a factor of 3
C) Vertical stretch by a factor of 2
D) Reflection through the x -axis
E) $\text { Horizontal shrink by a factor of } \frac{1}{3}$

Question

Which transformation was not performed on  y=\sin x  to obtain $y=-2 \sin \left(3 x+\frac{\pi}{3}\right) ?$
A) $\text { Horizontal shift left } \frac{\pi}{9} \text { units }$
B) Horizontal stretch by a factor of 3
C) Vertical stretch by a factor of 2
D) Reflection through the  x -axis
E) $\text { Horizontal shrink by a factor of } \frac{1}{3}$

Quizplus · Accepted Answer

The transformation involves a horizontal shrink by a factor of 1/3 (due to the coefficient 3 inside the sine function), not a stretch. Horizontal stretches and shrinks are inversely related to the coefficient inside the function.

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Which Transformation Was Not Performed on Y=\sin X $y=-2 \sin \left(3 x+\frac{\pi}{3}\right) ?$