Find an Equation in Standard Form for the Hyperbola That $( \pm 3,0 )$

question 18

Multiple Choice

Find an equation in standard form for the hyperbola that satisfies the given conditions.
-Vertices at $( \pm 3,0 )$ , foci at $( \pm 9,0 )$

• A) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 81 } = 1\)
• B) \(\frac { x ^ { 2 } } { 72 } - \frac { y ^ { 2 } } { 9 } = 1\)
• C) \(\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 9 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 72 } = 1\)

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Definitions:

Gestalt Principle

A theory in psychology proposing that people naturally organize their perceptions according to certain patterns or wholes, rather than focusing on individual components.

Proximity

The physical or psychological closeness or nearness of objects, individuals, or concepts to one another.

Gestalt Psychology

A theory of mind stating that psychological phenomena should be viewed as organized, structured wholes rather than the sum of their parts.

Stroboscopic Motion

The perception of continuous movement from a rapid sequence of still images, as seen in movies or animations.