Given the function f(x)=2(x−3)3+1, describe the transformation from the parent graph of g(x)=x3. Group of answer choices

A horizontal shift to the right 1 unit, a vertical shift down 3 units, and a vertical stretch by a factor of 2.

A horizontal shift to the left 3 units, a vertical shift down 1 unit, and a horizontal stretch by a factor of 2.

A horizontal shift to the right 3 units, a vertical shift up 1 unit, and a vertical stretch by a factor of 2.

A horizontal shift to the left 3 units, a vertical shift up 1 unit, and a horizontal shrink by a factor of 2.