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

question 14

Multiple Choice

Compare the graph of the following function with the graph of $f ( x ) = x ^ { 3 }$ .
$$y = [ 5 ( x + 10 ) ] ^ { 3 }$$

• A) vertical shift of 10 units up
• B) vertical shift of 10 units up horizontal shrink of \(\frac { 1 } { 5 }\) units
• C) horizontal shift of 10 units to the left horizontal shrink of \(\frac { 1 } { 125 }\) units
• D) horizontal shift of 10 units to the left horizontal stretch of \(\frac { 1 } { 5 }\) units
• E) horizontal shift of 10 units to the left vertical shift of 5 units up

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Definitions:

Finite Population

A population that consists of a fixed, limited number of entities or elements, making it countable and not infinite.

Queue

A line of people or items waiting for service or processing, often analyzed in operations to reduce wait times.

Queuing System

A model used to analyze the behavior of queues or waiting lines, focusing on predicting wait times and improving service efficiency in various service or production settings.