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

Question

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

Quizplus · Accepted Answer

The transformation from $y = \sin x$ to $y = -2 \sin(3x + \pi/3)$ includes a horizontal compression by a factor of $1/3$ (not a stretch by a factor of 3), a phase shift (horizontal shift) to the left by $\pi/9$, a vertical stretch by a factor of 2, and a reflection across the x-axis (due to the negative sign).

Which Transformation Was Not Performed on Y=sin X y=−2sin⁡(3x+π/3)?y=-2 \sin (3 x+\pi / 3) ?y=−2sin(3x+π/3)?

Which Transformation Was Not Performed on Y=sin X $y=-2 \sin (3 x+\pi / 3) ?$