Find the Center and Vertices of the Ellipse $$x ^ { 2 } + 16 y ^ { 2 } - 2 x - 256 y + 1009 = 0$$

question 107

Multiple Choice

Find the center and vertices of the ellipse.
$$x ^ { 2 } + 16 y ^ { 2 } - 2 x - 256 y + 1009 = 0$$

• A) center: \(( 8,1 ) \quad\) vertices: \(( 4,1 ) , ( 12,1 )\)
• B) center: \(( - 1 , - 8 ) \quad\) vertices: \(( - 2 , - 8 ) , ( 0 , - 8 )\)
• C) center: \(( 1,8 ) \quad\) vertices: \(( 0,8 ) , ( 2,8 )\)
• D) center: \(( 1,8 )\) vertices: \(( - 3,8 ) , ( 5,8 )\)
• E) center: \(( - 1 , - 8 ) \quad\) vertices: \(( - 5 , - 8 ) , ( 3 , - 8 )\)

---

Definitions:

Investing Activity

Financial actions related to the acquisition and disposal of long-term assets and other investments not considered as cash equivalents.

Mortgage Payable

A long-term liability representing the amount owed on a property mortgage, which is to be paid back over a period.

Noncash Investing

Investing activities that do not involve cash transactions, often including exchanges of noncash assets or liabilities for other noncash assets or liabilities.

Noncash Investing

Investment activities that do not involve a direct outlay of cash, such as acquiring assets through a lease or earning stock in exchange for a service.