Write an Equation for the Hyperbola $( - 4,3 )$ And $( 2,3 )$

question 125

Multiple Choice

Write an equation for the hyperbola.
-vertices at $( - 4,3 )$ and $( 2,3 )$ , passing through the point $( - 6,9 )$

• A) \(\frac { ( x + 1 ) ^ { 2 } } { 9 } - \frac { ( y - 3 ) ^ { 2 } } { \frac { 117 } { 4 } } = 1\)
• B) \(\frac { ( x + 1 ) ^ { 2 } } { 9 } - \frac { ( y - 3 ) ^ { 2 } } { \frac { 81 } { 4 } } = 1\)
• C) \(\frac { ( x + 1 ) ^ { 2 } } { \frac { 117 } { 4 } } - \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1\)
• D) \(\frac { ( x + 1 ) ^ { 2 } } { \frac { 81 } { 4 } } - \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1\)

---

Definitions:

Policies

Principles or guidelines that govern actions towards achieving desired outcomes or objectives within an organization or government.

Government

The governing body of a nation, state, or community, responsible for making and enforcing laws.

Personnel

Employees or staff members within an organization, regarded collectively as an important resource.

Lobbying Offices

Organizations or groups that attempt to influence political decisions on behalf of their interests.