The Problem Tells by What Factor and Direction the Graph $y = x ^ { 3 } + 1 \quad$

question 8

Multiple Choice

The problem tells by what factor and direction the graph of the given function is to be stretched or compressed. Give an
equation for the stretched or compressed graph.
- $y = x ^ { 3 } + 1 \quad$ stretched vertically by a factor of 5

• A) \(y = 125 x ^ { 3 } + 1\)
• B) \(y = \frac { x ^ { 3 } } { 5 } + \frac { 1 } { 5 }\)
• C) \(y = 5 x ^ { 3 } + 1\)
• D) \(y = 5 x ^ { 3 } + 5\)

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Definitions:

Modeling

A technique in psychotherapy where individuals learn by observing and imitating the behaviors of others.

Reinforcement

The process of encouraging or establishing a pattern of behavior by offering reward or punishment.

Operant Conditioning

A method of learning that occurs through rewards and punishments for behavior, through which an association is made between a behavior and a consequence for that behavior.

Curfew Extension

The act of prolonging the time before which individuals must cease activities or be indoors, typically imposed by authorities as a regulation or order.