Graph the Hyperbola $\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 64 } = 1$

question 69

Multiple Choice

Graph the hyperbola. Identify the center and vertices.
- $\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 64 } = 1$

• A) center: \(( 0,0 )\); vertices: \(( 0 , - 7 ) , ( 0,7 )\)
• B) center: \(( 7,8 )\); vertices: \(( 0 , - 7 ) , ( 0,7 )\)
• C) center: \(( 7,8 )\); vertices: \(( - 7,0 ) , ( 7,0 )\)
• D) center: \(( 0,0 )\); vertices: \(( - 7,0 ) , ( 7,0 )\)

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Definitions:

Automatic System

An unconscious, fast, and often involuntary process of information processing in the brain, which contrasts with deliberate and effortful processing.

Socially Acceptable

Behaviors or practices that are widely approved of within a society or cultural group.

Automatic System

This term relates to cognitive processing that functions effortlessly, quickly, and without the need for conscious guidance, as opposed to the deliberate system.

Gut Reactor

An individual who often relies on intuitive, emotional responses rather than analytical thinking when making decisions.