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

question 133

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:

Symbolic Form

The representation of logical propositions using symbols and variables to simplify and clarify relationships.

Components

Parts or elements that make up a larger whole, often referring to parts of a machine, system, or compound.

Connective

A word or phrase in logic that connects two statements to form a more complex statement.

Symbolic Form

The representation of logical statements using symbols to express logical relations and connectives.