List all the transformations that must be applied to f(x) = sin x to obtain the graph of g(x).g(x) = -4 sin  + 3

A. The graph f(x) = sin (x) is shifted a distance of ?/12 to the left, stretched vertically by a factor of 4, translated 3 units upward, then reflected in the x-axis.
B. The graph f(x) = sin (x) is shifted a distance of ?/12 to the right, stretched vertically by a factor of 4, translated 3 units upward, then reflected in the y-axis.
C. The graph f(x) = sin (x) is shifted a distance of ?/12 to the right, stretched vertically by a factor of 4, translated 3 units downward, then reflected in the x-axis.
D. The graph f(x) = sin (x) is shifted a distance of ?/12 to the right, stretched vertically by a factor of 1/4, translated 3 units downward, then reflected in the y-axis.


Answer: C

Mathematics

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