Write an Equation for the Hyperbola $( - 6 , - 2 ) , ( - 6,16 )$

question 39

Multiple Choice

Write an equation for the hyperbola.
-vertices $( - 6 , - 2 ) , ( - 6,16 )$ ; eccentricity $\frac { \sqrt { 106 } } { 9 }$

• A) \(\frac { ( y - 6 ) ^ { 2 } } { 81 } - \frac { ( x + 7 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( y - 7 ) ^ { 2 } } { 81 } - \frac { ( x + 6 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( y - 6 ) ^ { 2 } } { 81 } - \frac { ( x - 7 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { ( y + 6 ) ^ { 2 } } { 25 } - \frac { ( x - 7 ) ^ { 2 } } { 81 } = 1\)

---

Definitions:

Revolutionary Heritage

The cultural, political, and historical legacy left by a revolution, particularly the American Revolution.

Preamble

An introductory statement in a document that explains the document's purpose and underlying philosophy.

Black Abolitionists

African American activists who campaigned against the enslavement and oppression of black people.

American Anti-Slavery Society

Founded in 1833, the organization that sought an immediate end to slavery and the establishment of equality for black Americans. It split in 1840 after disputes about the role of women within the organization and other issues.