Graph Hyperbolas Centered at the Origin
Use Vertices and Asymptotes $$\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 25 } = 1$$

question 60

Multiple Choice

Graph Hyperbolas Centered at the Origin
Use vertices and asymptotes to graph the hyperbola. Find the equations of the asymptotes.
- $$\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 25 } = 1$$

• A) Asymptotes: \(y = \pm \frac { 3 } { 5 } x\)
• B) Asymptotes: \(y = \pm \frac { 5 } { 3 } x\)
• C) Asymptotes: \(\mathrm { y } = \pm \frac { 3 } { 5 } \mathrm { x }\)
• D) Asymptotes: \(y = \pm \frac { 5 } { 3 } x\)

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Definitions:

Automatized Behavior

Actions or behaviors that have become automatic due to repetition and are performed without conscious thought.

Cognitive Processes

Mental activities involved in the acquisition, processing, and storage of knowledge.

Stereotype

Overgeneralized beliefs about a particular category of people that simplifies the complexity of human behaviors and characteristics.

Heuristic Processing

A method of decision-making or reasoning based on simplified strategies or 'rules of thumb', rather than systematic analysis.