Compare the Graph of the Following Function with the Graph $f ( x ) = x ^ { 3 }$

question 42

Multiple Choice

Compare the graph of the following function with the graph of $f ( x ) = x ^ { 3 }$ .
$$y = [ 5 ( x - 2 ) ] ^ { 3 }$$

• A) vertical shift of 2 units down
• B) vertical shift of 2 units down horizontal shrink of \(\frac { 1 } { 5 }\) units
• C) horizontal shift of 2 units to the right horizontal shrink of \(\frac { 1 } { 125 }\) units
• D) horizontal shift of 2 units to the right horizontal stretch of \(\frac { 1 } { 5 }\) units
• E) horizontal shift of 2 units to the right vertical shift of 5 units down

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Definitions:

Anxious

A sense of anxiety or distress over an event whose result is not yet determined.

Freud

Sigmund Freud, the founder of psychoanalysis, known for his theories of the unconscious mind, the development of sexuality, and dream symbolism.

Unconscious

The part of the mind that is inaccessible to the conscious mind but affects behaviors and emotions.

Superego

In psychoanalytic theory, the part of the personality that represents internalized ideals, morals, and conscience, guiding behavior in accordance with societal norms.