Describe the Transformations Required to Obtain the Graph of the Function

question 58

Multiple Choice

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x) .
- $$f ( x ) = \sin ( - 5 x ) ; g ( x ) = \sin x$$

• A) Horizontal shrink by a factor of \(\frac { 1 } { 5 }\), reflection across \(y\)-axis
• B) Horizontal stretch by a factor of 5 , reflection across \(y\)-axis
• C) Vertical stretch by a factor of 5 , reflection across \(x\)-axis
• D) Horizontal shrink by a factor of \(\frac { 1 } { 5 }\), reflection across \(x\)-axis

---

Definitions:

Ineffective Coping

Inability to manage internal or external stressors in a healthy or constructive manner.

Manipulation

The act of controlling or influencing someone or something to achieve a desired outcome, often in a deceptive or unscrupulous way.

Personality Disorders

A group of mental disorders characterized by enduring maladaptive patterns of behavior, cognition, and inner experience.

Aversive Therapy

A behavioral treatment method that involves using unpleasant stimuli or discomfort to reduce or eliminate undesirable behaviors.