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Describe the Transformations Required to Obtain the Graph of the Function

Question 420

Multiple Choice

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x) .
- f(x) =15sin⁡3x5;g(x) =sin⁡xf ( x ) = \frac { 1 } { 5 } \sin \frac { 3 x } { 5 } ; g ( x ) = \sin x


A) Horizontal stretch by a factor of 5 , vertical shrink by a factor of 35\frac { 3 } { 5 }
B) Horizontal stretch by a factor of 53\frac { 5 } { 3 } , vertical stretch by a factor of 5
C) Horizontal stretch by a factor of 53\frac { 5 } { 3 } , vertical shrink by a factor of 15\frac { 1 } { 5 }
D) Horizontal shrink by a factor of 35\frac { 3 } { 5 } , vertical shrink by a factor of 15\frac { 1 } { 5 }

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