An Equation of the Form $y ^ { 2 } = 4 p x$

question 22

Multiple Choice

An equation of the form $y ^ { 2 } = 4 p x$ is given. Identify the vertex, value of p, focus, focal diameter, and
endpoints of the latus rectum.
- $$4 y ^ { 2 } = 64 x$$

• A) vertex: \(( 0,0 ) ; p = 4\); focus: \(( 4,0 )\); focal diameter: 16 , endpoints of latus rectum: \(( 4 , - 8 ) ; ( 4,8 )\)
• B) vertex: \(( 0,0 ) ; p = 4\); focus: \(( 0,4 )\); focal diameter: 8 , endpoints of latus rectum: \(( 4 , - 4 ) ; ( 4,4 )\)
• C) vertex: \(( 0,0 ) ; p = 4\); focus: \(( 0,4 )\); focal diameter: 16 , endpoints of latus rectum: \(( 8 , - 4 ) ; ( 8,4 )\)
• D) vertex: \(( 0,0 ) ; p = 4\); focus: \(( 4,0 )\); focal diameter: 8 , endpoints of latus rectum: \(( 4 , - 4 ) ; ( 4,4 )\)

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Definitions:

Debt-Equity Ratio

A financial tool measuring the blend of debt and equity financing a company utilizes for its assets.

Bankruptcy Liquidation

The process of selling off a bankrupt company's assets to pay off debts, typically overseen by a liquidator or bankruptcy court.

Unsecured Creditors

Creditors who have extended credit without any specific collateral, making them more vulnerable in the event of the debtor's insolvency.

Direct Bankruptcy Costs

Expenses directly associated with the process of filing for bankruptcy, including legal fees, accounting fees, and other related costs.