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:

Market Period

An extremely short duration in which the supply of a good is fixed, unable to adjust to changes in demand, typically because the period is so brief.

Productive Capacity

The maximum output a firm or economy can produce when using all available resources efficiently.

Calculate Elasticity

The process of assessing how the quantity demanded or supplied of a good changes in response to changes in its price or other factors.

Unit Elastic

Describes a demand or supply situation where a change in price leads to a proportional change in the quantity demanded or supplied.