Write the Equation of the Graph After the Indicated Transformation(s) $y = x ^ { 2 }$

question 36

Multiple Choice

Write the equation of the graph after the indicated transformation(s) .
-The graph of $y = x ^ { 2 }$ is shifted 3 units to the left. This graph is then vertically compressed by a factor of $\frac { 1 } { 5 }$ and reflected across the $x$ -axis. Finally, the graph is shifted 7 units downward.

• A) \(y = \frac { 1 } { 5 } ( x - 3 ) ^ { 2 } - 7\)
• B) \(y = - \frac { 1 } { 5 } ( x - 3 ) ^ { 2 } - 7\)
• C) \(y = - \frac { 1 } { 5 } ( x - 3 ) ^ { 2 } + 7\)
• D) \(y = - \frac { 1 } { 5 } ( x + 3 ) ^ { 2 } - 7\)

---

Definitions:

Debt Collector

An individual or agency that specializes in collecting debts owed by individuals or businesses.

Verification

The process of confirming the accuracy, truth, or validity of something.

Fair Credit Reporting Act

A federal law in the United States designed to ensure the accuracy, fairness, and privacy of consumer information contained in the files of credit reporting agencies.

Credit Checks

The process of evaluating an individual's or company's credit history and current financial status to assess their creditworthiness.