A graph of the function with equation [math: y=sin(x)] is transformed by- a dilation of factor 4 from the [math: y] -axis - a translation of [math: π2] \frac{ \pi }{2} units in the positive direction of the [math: x] -axis- a translation of 1 unit in the positive direction of the [math: y] -axisThe equation of the image is given by:单项选择题

A

A. [math: y=sin(14(x−π2))+1] y=sin( \frac{1}{4} (x- \frac{ \pi }{2} ))+1

B

B. [math: y=4sin((x−π2))+1] y=4sin( (x- \frac{ \pi }{2} ))+1

C

C. [math: y=sin(12(x+π2))−1] y=sin( \frac{1}{2} (x+ \frac{ \pi }{2} ))-1

D

D. [math: y=4sin((x+π2))−1] y=4sin( (x+ \frac{ \pi }{2} ))-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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