Find the Vertices and Foci of the Conic Section Without $x y = - 9$

question 34

Multiple Choice

Find the vertices and foci of the conic section without axis rotation by analyzing the graph geometrically in the xy-plane.
-The hyperbola $x y = - 9$

• A) V: \(( 3,3 ) , ( - 3 , - 3 )\)
• \(F : ( 3 \sqrt { 2 } , 3 \sqrt { 2 } ) , ( - 3 \sqrt { 2 } , - 3 \sqrt { 2 } )\)
• B) V: \(( 3 \sqrt { 2 } , - 3 \sqrt { 2 } ) , ( - 3 \sqrt { 2 } , 3 \sqrt { 2 } )\)
• F: \(( 3 , - 3 ) , ( - 3,3 )\)
• C) V: \(( 3,3 ) , ( - 3 , - 3 )\)
• F: \(( 3 \sqrt { 2 } , - 3 \sqrt { 2 } ) , ( - 3 \sqrt { 2 } , 3 \sqrt { 2 } )\)
• D) V: \(( 3 , - 3 ) , ( - 3,3 )\)
• F: \(( 3 \sqrt { 2 } , - 3 \sqrt { 2 } ) , ( - 3 \sqrt { 2 } , 3 \sqrt { 2 } )\)

---

Definitions:

Less Risky

Less risky describes an investment or action that has a lower likelihood of resulting in loss or lower variability in its returns compared to other options.

Treasury Stock

Shares that were issued and subsequently reacquired by the company, reducing the amount of outstanding stock on the open market.

Undervalued

A situation where a securities price is considered to be below its intrinsic value, making it an appealing investment opportunity.

Net Income

The amount of money a company earns after subtracting all expenses, taxes, and losses, indicating the company's profitability over a time period.