Find an Equation for the Ellipse Described $( 0 , - 4 )$

question 107

Multiple Choice

Find an equation for the ellipse described.
-Focus at $( 0 , - 4 )$ ; vertices at $( 0 , \pm 8 )$

• A) \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 48 } = 1\)
• B) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 48 } = 1\)
• C) \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 64 } = 1\)
• D) \(\frac { x ^ { 2 } } { 48 } + \frac { y ^ { 2 } } { 64 } = 1\)

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Definitions:

Palate

The roof of the mouth, separating the oral and nasal cavities, which is involved in taste, speech, and swallowing.

Roof

The upper covering of a building, providing protection from weather conditions such as rain or snow.

Vitamins

Organic compounds essential to human health that must be obtained from the diet because they are not synthesized by the body in sufficient amounts.

Regulating Chemicals

Substances used to control or adjust processes in the body or in industrial practices.