Graph the Ellipse $$25 ( x + 2 ) ^ { 2 } + 9 ( x + 4 ) ^ { 2 } = 225$$

question 125

Multiple Choice

Graph the ellipse. Identify the foci and vertices.
- $$25 ( x + 2 ) ^ { 2 } + 9 ( x + 4 ) ^ { 2 } = 225$$

• A) foci: \(( - 2,0 ) , ( - 2 , - 8 )\); vertices: \(( - 2 , - 9 ) , ( - 2,1 )\)
• B) foci: \(( 6,4 ) , ( - 2,4 )\); vertices: \(( 7,4 ) , ( - 3,4 )\)
• C) foci: \(( 2,8 ) , ( 2,0 )\); vertices: \(( 2,9 ) , ( 2 , - 1 )\)
• D) foci: \(( 2 , - 4 ) , ( - 6 , - 4 )\); vertices: \(( 3 , - 4 ) , ( - 7 , - 4 )\)

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Definitions:

Personality Type

A classification of individuals based on shared psychological characteristics, often used in describing predictable behaviors and thought patterns.

Intrinsic Satisfaction

Fulfillment or pleasure derived from engaging in an activity for its own sake, rather than for external rewards.

Detached

Being emotionally disengaged or separated from a situation, often to maintain objectivity or prevent bias.

Neurotic Needs

Psychological needs that are compulsive and unrealistic, often resulting from anxiety and insecurity.