Compare the Graph Of $p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9$

question 80

Multiple Choice

Compare the graph of $p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9$ with $p ( x ) = x ^ { 2 }$ .

• A) \(p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9\) shifts right 9 units, shifts downward 9 units, and shrinks by a factor of \(- \frac { 1 } { 9 }\).
• B) \(p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9\) shifts right 81 units, shifts upward 9 units, and shrinks by a factor of \(\frac { 1 } { 9 }\).
• C) \(p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9\) shifts left 9 units, shifts downward 9 units, and shrinks by a factor of \(\frac { 1 } { 9 }\).
• D) \(p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9\) shifts right 9 units, shifts upward 9 units, and shrinks by a factor of \(\frac { 1 } { 9 }\).
• E) \(p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9\) shifts left 81 units, shifts upward 9 units, and shrinks by a factor of \(- \frac { 1 } { 3 }\).

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Definitions:

Low-value Group

A segment of the market or population perceived to have less purchasing power or economic importance.

Direct Price Discrimination

A pricing strategy where a seller charges different prices to different customers for the same product or service, based explicitly on the customer's willingness to pay.

Indirect Price Discrimination

A pricing strategy where different prices are charged for the same product or service in different markets or segments, not directly by customer characteristics.

Decreasing Returns

Refers to a situation in which adding more of a production factor, such as labor or capital, results in progressively smaller increases in output.