Describe the Transformations Required to Obtain the Graph of the Function

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x) .
- $$f ( x ) = 2 \cos 3 \pi x ; g ( x ) = \cos \pi x$$

A) Horizontal shrink by a factor $\frac { 1 } { 3 }$ , vertical stretch by a factor of 2
B) Horizontal shrink by a factor $\frac { 1 } { 3 }$ , vertical shrink by a factor of $\frac { 1 } { 2 }$
C) Horizontal stretch by a factor 3 , vertical stretch by a factor of 2
D) Horizontal shrink by a factor $\frac { 1 } { 2 }$ , vertical stretch by a factor of 3

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