Question: Describe the transformations that must be applied to the graph of f(x)= sin x to obtain the graph of g(x)= 3 sin 2(x - 45)

Describe the transformations that must be applied to the graph of f(x)= sin x to obtain the graph of g(x)= 3 sin 2(x - 45) -1. 1Apply each transformation, one step at a time, to sketch the graph of g(x).

2Modify the equation for g(x) to include a phase shift of 60 degrees to the left. Call this function h(x). Apply the phase shift to the graph of g(x) and transform it to h(x).

For both questions please graph out all the transformations.

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