Find an Equation in Standard Form for the Hyperbola That $( - 2,4 )$

question 47

Multiple Choice

Find an equation in standard form for the hyperbola that satisfies the given conditions.
-Center $( - 2,4 )$ , focus $( - 2,11 )$ , vertex $( - 2,6 )$

• A) \(\frac { ( y - 4 ) ^ { 2 } } { 4 } - \frac { ( x + 2 ) ^ { 2 } } { 53 } = 1\)
• B) \(\frac { ( y + 4 ) ^ { 2 } } { 4 } - \frac { ( x + 2 ) ^ { 2 } } { 45 } = 1\)
• C) \(\frac { ( y + 4 ) ^ { 2 } } { 4 } + \frac { ( x + 2 ) ^ { 2 } } { 45 } = 1\)
• D) \(\frac { ( y - 4 ) ^ { 2 } } { 4 } - \frac { ( x + 2 ) ^ { 2 } } { 45 } = 1\)

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Definitions:

Debt Ratio

A financial ratio that measures the extent of a company's or individual's leverage, calculated by dividing total liabilities by total assets.

Services Revenue

Income earned by a company through the provision of services to customers.

Debit

An accounting entry that increases an asset or expense account, or decreases a liability or equity account.

Asset Accounts

Accounts on a company's balance sheet that represent the resources owned by the company which have economic value and can provide future benefits.