Describe the Transformations and Give the Equation for the Graph $f ( x ) = \sqrt { x }$

question 183

Multiple Choice

Describe the transformations and give the equation for the graph.
-

• A) It is the graph of \(f ( x ) = \sqrt { x }\) translated 5 units to the right, shrunken vertically by a factor of \(\frac { 1 } { 3 }\) and translated 4 units up. The equation is \(y = \frac { 1 } { 3 } \sqrt { x + 5 } + 4\)
• B) It is the graph of \(f ( x ) = \sqrt { x }\) translated 5 units to the right, shrunken vertically by a factor of \(\frac { 1 } { 3 }\) and translated 4 units up. The equation is \(\mathrm { y } = \frac { 1 } { 3 } \sqrt { \mathrm { x } - 5 } + 4\)
• C) It is the graph of \(f ( x ) = \sqrt { x }\) translated 5 units to the right, stretched vertically by a factor of 3 and translated 4 units up. The equation is \(y = 3 \sqrt { x + 5 } + 4\)
• D) It is the graph of \(f ( x ) = \sqrt { x }\) translated 5 units to the right, stretched vertically by a factor of 3 and translated 4 units up. The equation is \(y = 3 \sqrt { x - 5 } + 4\)

---

Definitions:

Federal Court

Federal court refers to a system of courts that have jurisdiction over legal disputes governed by federal law, including disputes between states, constitutional issues, and matters involving the federal government.

Jurisdiction

Jurisdiction pertains to the official power to make legal decisions and judgments, often within a specific geographic area or over certain types of legal cases.

Consumer Surplus

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service and the actual price they pay.

Capture

The act of gaining control or possession of something, often referring to market share or resources.