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:

Performance Measures

Criteria or indicators used to assess the effectiveness, efficiency, or quality of a product, service, or process.

Repetitive Focus Factory

A repetitive focus factory is a manufacturing facility designed to produce high volumes of a limited range of products, emphasizing efficiency and consistency.

Number Of Phases

A term referring to the distinct stages or steps in a process or project lifecycle.

Queue Performance

The measurement of effectiveness and efficiency in managing wait lines or queues, including aspects such as wait times and customer satisfaction.