Find an Equation for the Conic Whose Graph Is Shown $\frac { x ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1$

question 4

Multiple Choice

Find an equation for the conic whose graph is shown.

• A) \(\frac { x ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1\)
• B) \(\frac { ( x + 2 ) ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1\)
• C) \(\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1\)
• E) \(\frac { ( x - 2 ) ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1\)

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Definitions:

Integrative Framework

A comprehensive approach that combines elements from different theories or systems into a cohesive structure to address complex issues.

Cognitive-behavior Therapists

Mental health professionals who treat various disorders by changing negative thought patterns and behaviors.

Cognitive Therapy

A type of psychotherapy focused on modifying dysfunctional emotions, behaviors, and thoughts by interrogating and uprooting negative or irrational beliefs.

Dysfunctional Thinking

Negative and unhelpful thought patterns that are often irrational and can lead to emotional distress and behavioral problems.