Select the Standard Form of the Equation of the Parabola $y ^ { 2 } = - \frac { 49 } { 5 } x$

question 325

Multiple Choice

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

• A) \(y ^ { 2 } = - \frac { 49 } { 5 } x\) ; Focus: \(\left( \frac { 49 } { 20 } , 0 \right)\)
• B) \(y ^ { 2 } = \frac { 49 } { 5 } x\) ; Focus: \(\left( \frac { 49 } { 20 } , 0 \right)\)
• C) \(y ^ { 2 } = - \frac { 49 } { 5 } x\) ; Focus: \(\left( - \frac { 49 } { 20 } , 0 \right)\)
• D) \(x ^ { 2 } = - \frac { 49 } { 5 } y\) Focus: \(\left( \frac { 49 } { 20 } , 0 \right)\)
• E) \(x ^ { 2 } = \frac { 49 } { 5 } y\) ; Focus: \(\left( \frac { 49 } { 20 } , 0 \right)\)

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Definitions:

Intoxication

A cluster of undesirable behavioral or psychological changes, such as slurred speech or mood changes, that may develop during or shortly after the ingestion of a substance.

Substance Use Disorder

A condition that results from the use of one or more substances leading to a clinically significant impairment or distress.

Substance Intoxication

The physiological reaction to ingested substances, including alcohol and drugs, which can impair mental and physical faculties.

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord.