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

question 72

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:

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Dependent Variable

is the variable in an experiment that is expected to change in response to manipulations in the independent variable.

Empirical Methods

Research methods based on observation or experiment rather than theory or logic, emphasizing the collection of data to test hypotheses.

Psychology's Commitment

The dedication of the discipline to understand, explain, and improve human behavior and mental processes through scientific methods.