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) .
- $$f ( x ) = \frac { 1 } { 5 } \sin \frac { 3 x } { 5 } ; g ( x ) = \sin x$$

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

---

Definitions:

Fine Motor Skills

The ability to make movements using the small muscles in our hands and fingers, crucial for tasks such as writing, buttoning, and typing.

Small Muscles

Muscles associated with fine motor skills, typically found in the hands and fingers, allowing for movements such as grasping, writing, and buttoning.

Manipulation

The action of controlling or influencing a person or situation cleverly, unfairly, or unscrupulously, often without their awareness.

Plasticity

The quality of being easily shaped or molded, or the ability of the brain to reorganize itself by forming new neural connections.