Write an Equation for the Hyperbola $( - 4,3 )$ And $( 2,3 )$

question 125

Multiple Choice

Write an equation for the hyperbola.
-vertices at $( - 4,3 )$ and $( 2,3 )$ , passing through the point $( - 6,9 )$

• A) \(\frac { ( x + 1 ) ^ { 2 } } { 9 } - \frac { ( y - 3 ) ^ { 2 } } { \frac { 117 } { 4 } } = 1\)
• B) \(\frac { ( x + 1 ) ^ { 2 } } { 9 } - \frac { ( y - 3 ) ^ { 2 } } { \frac { 81 } { 4 } } = 1\)
• C) \(\frac { ( x + 1 ) ^ { 2 } } { \frac { 117 } { 4 } } - \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1\)
• D) \(\frac { ( x + 1 ) ^ { 2 } } { \frac { 81 } { 4 } } - \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1\)

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Definitions:

Stimulus Generalization

A learning process in which responses to a specific stimulus are elicited by similar stimuli.

Stimulus Discrimination

The ability to differentiate between similar stimuli and respond differently based on past learning.

2nd Order Conditioning

A form of conditioning in which a stimulus that becomes a conditioned stimulus is used to condition a second stimulus.

Spontaneous Recovery

The reappearance of a learned response after extinction has occurred, following a period of no exposure to the conditioned stimulus.