Find an Equation for the Conic That Satisfies the Given $6$

question 23

Multiple Choice

Find an equation for the conic that satisfies the given conditions. hyperbola, foci (0, ± $6$ ) , vertices (0, ± $3$ )

• A) \(6 x ^ { 2 } = y\)
• B) \(\frac { ( x - 6 ) ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 27 } = 1\)
• C) \(\frac { 6 } { 27 } x ^ { 2 } = y\)
• D) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 27 } = 1\)
• E) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 27 } = 1\)

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Definitions:

Muscles

Tissue found in the body of animals and humans which has the ability to contract, enabling movement.

Pathology Present

Indicates that disease or abnormality was found through the study of cells, tissues, and organs.

Trigger Points

Hyperirritable spots in skeletal muscle associated with palpable nodules in tight bands of muscle fibers, commonly causing pain.

Headache

A painful sensation in any part of the head, ranging from sharp to dull, that may occur with other symptoms.