Find the Standard Form of the Equation of the Ellipse $( \pm 2,0 )$

question 226

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.
Foci: $( \pm 2,0 )$ ; major axis of length 18

• A) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 77 } = 1\)
• B) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 2 } = 1\)
• C) \(\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 77 } = 1\)
• D) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 4 } = 1\)
• E) \(\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 77 } = 1\)

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Definitions:

Triadic Reciprocal Causation

Triadic reciprocal causation is a model proposed by Albert Bandura that explains human behavior through the interaction of behavioral, cognitive, and environmental factors.

Social Cognitive Theory

A framework for understanding, predicting, and changing human behavior that emphasizes the interplay of personal factors, behavior, and environmental influences.

Extinction

The process through which a previously reinforced behavior is reduced and eventually disappears when reinforcement is no longer provided.

Continuous Reinforcement

A method of learning that involves giving a reward after each desired behavior, promoting the occurrence of the behavior with no delay in reinforcement.