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

question 369

Multiple Choice

Describe the transformations and give the equation for the graph.
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• A) It is the graph of \(f ( x ) = | x |\) shrunken vertically by a factor of 9 and translated 2 units down. The equation is \(y = 9 | x | + 2\)
• B) It is the graph of \(f ( x ) = | x |\) stretched vertically by a factor of 9 and translated 2 units down. The equation is \(y = 9 | x | - 2\)
• C) It is the graph of \(f ( x ) = | x |\) shrunken vertically by a factor of 9 and translated 2 units down. The equation is \(y = \frac { 1 } { 9 } | x | - 2\)
• D) It is the graph of \(f ( x ) = | x |\) stretched vertically by a factor of 9 and translated 2 units down. The equation is \(y = \frac { 1 } { 9 } | x | + 2\)

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Definitions:

Actualizing Tendency

A concept in humanistic psychology referring to the innate drive within living organisms to fulfill their potential, including growth, development, and creativity.

Fully Functioning

A state in which an individual operates at their optimum level, experiencing personal growth, fulfillment, and wellness.

Personal Causation Hypothesis

A theory suggesting that individuals perceive their actions as being the result of their own choice and thus feel responsible for the outcomes.

Maslow's Hierarchy

A theory in psychology proposed by Abraham Maslow regarding the concept that human motivation is based on fulfilling a hierarchy of needs, starting from basic physical requirements to more advanced needs of self-actualization.