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

question 139

Multiple Choice

Write the equation of the graph after the indicated transformation(s) .
-The graph of $y = x ^ { 2 }$ is shifted 4 units to the right. This graph is then vertically stretched by a factor of 6 and reflected across the $x$ -axis. Finally, the graph is shifted 8 units upward.

• A) \(y = - 6 ( x - 4 ) ^ { 2 } - 8\)
• B) \(y = - 6 ( x + 8 ) ^ { 2 } + 4\)
• C) \(y = - 6 ( x - 4 ) ^ { 2 } + 8\)
• D) \(y = - 6 ( x + 4 ) ^ { 2 } + 8\)

---

Definitions:

Homeless

Individuals who lack a fixed, regular, and adequate nighttime residence, facing significant challenges in obtaining shelter and stability.

Cash Equivalent

Assets that are easily convertible into cash with little to no risk of change in value.

Price Ceiling

A legal maximum price that can be charged for a particular good or service to prevent prices from becoming too high.

Implicit Tax

A non-legislative effect that decreases the benefits of certain financial choices because of opportunity costs or market adjustments.