A graph of the function with equation [math: y=sin(x)] is transformed by- a dilation of factor 2 from the [math: y] -axis - a translation of [math: π3] \frac{ \pi }{3} units in the negative direction of the [math: x] -axis- a translation of 1 unit in the negative direction of the [math: y] -axisThe equation of the image is given by:单项选择题

A

A. [math: y=2sin((x+π3))+1] y=2sin( (x+ \frac{ \pi }{3} ))+1

B

B. [math: y=2sin((x+π3))−1] y=2sin( (x+ \frac{ \pi }{3} ))-1

C

C. [math: y=sin(12(x−π3))−1] y=sin( \frac{1}{2} (x- \frac{ \pi }{3} ))-1

D

D. [math: y=sin(12(x+π3))−1] y=sin( \frac{1}{2} (x+ \frac{ \pi }{3} ))-1

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The graph of [math: y=sin(x)] is reflected in the y-axis, then translated [math: π4] units left. Which of these equations gives the image of the transformed graph?

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