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:

Electrical Signals

The transmission of information through a biological organism or artificial device using changes in electrical potential.

Associated Tissues

Tissues that are connected in function or location, often used in biological contexts to describe how different types of tissues work together in organs or systems.

Dense Connective Tissue

A type of tissue that may be irregular, as in the dermis of the skin, or regular, as in tendons.

Collagen Fibers

Strong, flexible protein fibers that form the supportive framework of connective tissues in the body, including skin, bone, and cartilage.