The Year Y When Sales Were S Million Dollars for a Particular

question 299

Multiple Choice

The year y when sales were s million dollars for a particular electronics company can be modeled by the radical equation $y = 1.2 \sqrt { s - 4 } - 6$ , where $y = 1$ represents 2010 , and so on. Describe the transformations needed to obtain the graph of this function from the graph of $y = \sqrt { s }$ .

• A) Shift 1.2 units to the right, stretch vertically by a factor of 4, and shift down by 6 units.
• B) Shift 4 units to the left, stretch vertically by a factor of 1.2, and shift down by 6 units.
• C) Shift 4 units down, stretch vertically by a factor of 1.2, and shift 6 units to the right.
• D) Shift 4 units to the right, stretch vertically by a factor of 1.2, and shift down by 6 units.

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Definitions:

Elasticity of Demand

The elasticity of demand measures how responsive the quantity demanded of a good or service is to a change in its price, indicating the sensitivity of consumers to price changes.

Price Discrimination

A pricing strategy where identical or substantially similar goods or services are sold at different prices by the same provider in different markets or to different customers.

Natural Monopoly

A market condition in which a single firm can supply a product or service to an entire market at a lower cost than could two or more firms, often due to economies of scale.

Price Elasticity

The degree to which the quantity demanded of a good changes in response to a change in its price.