Use Transformations on the Basic Functions to Write a Rule $f ( x ) = - ( x + 1 ) ^ { 2 } + 2$

question 247

Multiple Choice

Use transformations on the basic functions to write a rule y = f (x) that would produce the given graph.
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• A) \(f ( x ) = - ( x + 1 ) ^ { 2 } + 2\)
• B) \(f ( x ) = - ( x - 1 ) ^ { 2 } + 2\)
• C) \(f ( x ) = ( x + 1 ) ^ { 2 } - 2\)
• D) \(f ( x ) = ( x - 1 ) ^ { 2 } - 2\)

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Definitions:

Long-Run Average Costs Curve

A graphical representation showing the minimum average cost at which any output level can be produced after all inputs, including capital, are adjusted.

AFC

In economic terms, typically stands for Average Fixed Cost, which is the fixed costs of production divided by the quantity of output produced.

ATC

Average total cost, which is the total cost of production divided by the quantity of output produced, encompassing both fixed and variable costs.

Economies Of Scale

Companies achieve cost benefits when their production processes become more efficient, leading to a decrease in the per-unit cost as the scale of production grows.