List all the transformations that must be applied to f(x) = sin x to obtain the graph of g(x).g(x) = -3 sin  - 7

A. The graph f(x) = sin (x) is shifted a distance of ?/8 to the left, reflected in the y-axis, translated 7 units downward, then stretched horizontally by a factor of 3.
B. The graph f(x) = sin (x) is shifted a distance of ?/8 to the right, reflected in the x-axis, translated 7 units downward, then stretched vertically by a factor of 3.
C. The graph f(x) = sin (x) is shifted a distance of ?/8 to the left, reflected in the y-axis, translated 7 units upward, then stretched vertically by a factor of 3.
D. The graph f(x) = sin (x) is shifted a distance of ?/8 to the left, reflected in the x-axis, translated 7 units downward, then stretched vertically by a factor of 3.


Answer: D

Mathematics

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