Find the Standard-Form Equation for an Ellipse Which Satisfies the Given

question 181

Multiple Choice

Find the standard-form equation for an ellipse which satisfies the given conditions.
-An ellipse centered at the origin having vertex at $( 0 , - 9 )$ and eccentricity equal to $\frac { 1 } { 3 }$

• A) \(\frac { y ^ { 2 } } { 81 } + \frac { x ^ { 2 } } { 72 } = 1\)
• B) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 72 } = 1\)
• C) \(\frac { y ^ { 2 } } { 81 } - \frac { x ^ { 2 } } { 72 } = 1\)
• D) \(\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 72 } = 1\)

---

Definitions:

Checking Citations

The process of verifying references to legal authorities to ensure they are accurate and support an argument.

Narrow Search

The process of refining search criteria to decrease the volume of results and increase the relevance of those results to a specific question or topic.

Fee-Based Search

A service that requires payment in exchange for conducting specialized searches or providing access to specific information or databases.

Identifying Information

Personal or unique data that can be used to distinctly identify, contact, or locate an individual, such as a name, Social Security number, or address.