Find the Standard Form of the Equation of the Parabola $x ^ { 2 } = - 3 y$

question 434

Multiple Choice

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

• A) \(x ^ { 2 } = - 3 y\) focus: \(\left( 0 , - \frac { 1 } { 3 } \right)\)
• B) \(x ^ { 2 } = - \frac { 1 } { 12 } y\) focus: \(\left( 0 , - \frac { 1 } { 12 } \right)\)
• C) \(x ^ { 2 } = - 3 y\) focus: (0,- 4)
• D) \(x ^ { 2 } = - \frac { 1 } { 3 } y\) focus: \(\left( 0 , - \frac { 1 } { 3 } \right)\)
• E) \(x ^ { 2 } = - \frac { 1 } { 3 } y\) focus: \(\left( 0 , - \frac { 1 } { 12 } \right)\)

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Definitions:

Debit

A financial record that leads to a rise in assets or a reduction in liabilities on the balance sheet of a company.

Credit Accounts

Accounts within financial accounting that are increased with a credit entry, carrying a balance that could be beneficial (revenue, gains) or detrimental (liabilities, expenses).

Journal Entry

A record in accounting that logs the debit and credit parts of a transaction in the financial records of a company.

Journal

A record where all financial transactions are initially recorded, using debits and credits, before being posted to individual accounts.