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

question 23

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:

Net Present Value

A financial metric showing the value of all future cash flows related to an investment discounted back to the present time.

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Funds used by a company to acquire, upgrade, and maintain physical assets such as property, industrial buildings, or equipment.

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The percentage at which an individual or corporation is taxed.