Find an Equation for the Conic That Satisfies the Given $( 0 , \pm 6 )$

question 76

Multiple Choice

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

• 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:

Archaea

A group of single-cell microorganisms which are genetically unique compared to bacteria and eukaryotes, commonly discovered in extreme settings.

Hierarchical Organization

The arrangement of entities in a graded series of levels, each level subordinate to the one above it.

Living Things

Organisms that exhibit the characteristics of life, such as growth, reproduction, responsiveness to the environment, and metabolic processes.

Tissues

Groups of similar cells that work together to perform a specific function in the body, such as muscle, nerve, and epithelial tissues.