Identify the Parent Function and the Transformation Shown in the Graph.Write

question 159

Multiple Choice

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.

• A)Reflection in the x-axis and vertical shift of \(y = \sqrt { x } ; y = 2 - \sqrt { x }\)
• B)Vertical shift of x-axis and vertical shift of \(y = \sqrt { x } ; y = 2 + \sqrt { x }\)
• C)Reflection in the x-axis and vertical shift of \(y = \sqrt { x } ; y = 2 + \sqrt { x }\)
• D)Horizontal shift of x-axis and vertical shift of \(y = \sqrt { x } ; y = 2 + \sqrt { x }\)
• E)Horizontal shift of x-axis and vertical shift of \(y = \sqrt { x } ; y = 2 - \sqrt { x }\)

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Definitions:

Competitive Firm

A company operating in a market where it competes with other entities for market share and profits by offering the best possible mix of price and quality.

Profit Maximizing

The process or strategy undertaken by businesses to achieve the highest possible profit, often entailing decisions on pricing, production, and cost management.

Loss-Minimizing Level

The production level at which a firm minimizes its losses in the short run when it cannot cover total costs, but can cover variable costs.

Fixed Cost

Expenses that do not change with the level of production or sales, such as rent, salaries, and insurance.