Identify the Vertices and the Foci $$x ^ { 2 } - \frac { ( y + 5 ) ^ { 2 } } { 3 } = 1$$

question 94

Multiple Choice

Identify the vertices and the foci.
- $$x ^ { 2 } - \frac { ( y + 5 ) ^ { 2 } } { 3 } = 1$$

• A) vertices: \(( 1,5 ) , ( - 1,5 )\)
• foci: \(( 2,5 ) , ( - 2,5 )\)
• B) vertices: \(( 1 , - 5 ) , ( - 1 , - 5 )\)
• foci: \(( 2 , - 5 ) , ( - 2 , - 5 )\)
• C) vertices: \(( 0 , - 5 + \sqrt { 3 } ) , ( 0 , - 5 - \sqrt { 3 } )\)
• foci: \(( 0 , - 7 ) , ( 0 , - 3 )\)
• D) vertices: \(( 0,5 + \sqrt { 3 } ) , ( 0,5 - \sqrt { 3 } )\)
• foci: \(( 0,7 ) , ( 0,3 )\)

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Definitions:

Eyeballs

The organs of vision located in the eye sockets of the skull, allowing for sight by responding to light.

Myopia

A condition of the eyes where close objects appear clearly, but distant objects appear blurry.

Hyperopia

A vision condition also known as farsightedness, where distant objects are seen more clearly than near objects due to the eyeball being too short.

Optic Neuritis

Optic neuritis is the inflammation of the optic nerve that can cause a temporary reduction in vision, usually in one eye, characterized by pain with eye movement and visual disturbances.