Find the Vertices and Foci of the Hyperbola $$\frac { ( x + 5 ) ^ { 2 } } { 64 } - \frac { ( y - 3 ) ^ { 2 } } { 36 } = 1$$

question 55

Multiple Choice

Find the vertices and foci of the hyperbola.
- $$\frac { ( x + 5 ) ^ { 2 } } { 64 } - \frac { ( y - 3 ) ^ { 2 } } { 36 } = 1$$

• A) Vertices: \(( 3,3 ) , ( 3 , - 13 )\); Foci: \(( 3 , - 15 ) , ( 3,5 )\)
• B) Vertices: \(( 3,1 ) , ( 3 , - 11 )\); Foci: \(( 3 , - 11 ) , ( 3,1 )\)
• C) Vertices: \(( 1,3 ) , ( - 11,3 )\); Foci: \(( - 11,3 ) , ( 1,3 )\)
• D) Vertices: \(( 3,3 ) , ( - 13,3 )\); Foci: \(( - 15,3 ) , ( 5,3 )\)

---

Definitions:

Operating Expenses

Costs incurred during the normal course of business operations, excluding the cost of goods sold.

Income from Operations

Earnings generated from a company's regular, core business activities before interest and taxes.

Gross Profit Percentage

A financial metric expressing the gross profit as a percentage of net sales, showing the efficiency of a company in making and selling its products.

Gross Profit

The difference between sales revenue and cost of goods sold, indicating the profitability of a company's core operations before overhead expenses.