Describe the Transformations and Give the Equation for the Graph $f ( x ) = | x |$

question 108

Multiple Choice

Describe the transformations and give the equation for the graph.
-

• A) It is the graph of \(f ( x ) = | x |\) shrunken vertically by a factor of 8 and translated 9 units down. The equation is \(y = 8 | x | + 9\)
• B) It is the graph of \(f ( x ) = | x |\) stretched vertically by a factor of 8 and translated 9 units down. The equation is \(y = 8 | x | - 9\)
• C) It is the graph of \(f ( x ) = | x |\) stretched vertically by a factor of 8 and translated 9 units down. The equation is \(y = \frac { 1 } { 8 } | x | + 9\)
• D) It is the graph of \(f ( x ) = | x |\) shrunken vertically by a factor of 8 and translated 9 units down. The equation is \(\mathrm { y } = \frac { 1 } { 8 } | \mathrm { x } | - 9\)

---

Definitions:

Stimulus-Based Definition

A description that focuses on identifying and explaining the specific external factors that provoke a particular response.

Stress

A physical, mental, or emotional factor that causes bodily or mental tension and may arise from various situations or thoughts that make someone feel frustrated, angry, or nervous.

Social Readjustment

The process of adapting to significant changes in one's life, which can be a source of stress and require considerable psychological adjustment.

Rating Scale

A method for measuring quantitative or qualitative information by assigning values along a continuous or discrete scale.