Which transformations are needed to change the parent cosine function to y is equal to 3 cosine open paren 10 times open paren x minus pi close paren close paren ?

The coefficient 3 outside the cosine multiplies its values, so it creates a vertical stretch by a factor of 3. The factor 10 inside gives a period of 2π ÷ 10 = π/5, which is a horizontal compression. Since the input is x − π, the graph shifts π units to the right. These transformations match choice D.

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