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

question 480

Multiple Choice

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

• A) It is the graph of \(f ( x ) = | x |\) stretched vertically by a factor of 5 and translated 3 units down. The equation is \(y = \frac { 1 } { 5 } | x | + 3\)
• B) It is the graph of \(\mathrm { f } ( \mathrm { x } ) = | \mathrm { x } |\) shrunken vertically by a factor of 5 and translated 3 units down. The equation is \(y = 5 | x | + 3\)
• C) It is the graph of \(\mathrm { f } ( \mathrm { x } ) = | \mathrm { x } |\) shrunken vertically by a factor of 5 and translated 3 units down. The equation is \(y = \frac { 1 } { 5 } | x | - 3\)
• D) It is the graph of \(f ( x ) = | x |\) stretched vertically by a factor of 5 and translated 3 units down. The equation is \(y = 5 | x | - 3\)

---

Definitions:

Adjustment

The process of adapting or becoming accustomed to new conditions, situations, or environments.

Demands

Refers to the requirements or needs that must be met in various contexts, such as job demands in the workplace.

Environment

Environment refers to the surroundings or conditions in which a person, plant, or animal lives or operates, encompassing both natural and built settings.

MMPI-2

The Minnesota Multiphasic Personality Inventory-2, a widely used psychological assessment tool designed to evaluate a variety of psychological conditions and personality attributes.