A Function F Is Given, and the Indicated Transformations Are $f ( x ) = \sqrt { x }$

question 10

Multiple Choice

A function f is given, and the indicated transformations are applied to its graph (in the given order) . Find the equation for the final transformed graph. $f ( x ) = \sqrt { x }$ ; shift 5 units to the left, stretch vertically by a factor of 2 , and reflect in the $x$ -axis.

• A) \(f ( x ) = - 2 \sqrt { x } + 5\)
• B) \(f ( x ) = - \frac { 1 } { 2 } \sqrt { x } - 5\)
• C) \(f ( x ) = - 5 \sqrt { x - 2 }\)
• D) \(f ( x ) = - \sqrt { 5 x - 2 }\)
• E) \(f ( x ) = - 2 \sqrt { x + 5 }\)

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Definitions:

Product Selling

The process of marketing and selling goods or services to customers.

Purely Competitive Conditions

A market scenario where numerous small suppliers offer identical products, resulting in no single supplier having any market control.

Marginal Product

The additional output that is produced by adding one more unit of a particular input while keeping other inputs constant.

Minimizing Costs

A strategy or process aimed at reducing expenses in production or operations to increase profitability.