Solve the Problem $\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 16 } = 1$

question 376

Multiple Choice

Solve the problem.
-Find the vertices and asymptotes of the following hyperbola: $\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 16 } = 1$

• A) Vertices: \(( 0,4 ) , ( 0 , - 4 ) ;\) Asymptotes: \(y = \pm 4 x\)
• B) Vertices: \(( 4,0 ) , ( - 4,0 )\); Asymptotes: \(\mathrm { y } = \pm 1 \mathrm { x }\)
• C) Vertices: \(( 0,16 ) , ( 0 , - 16 )\); Asymptotes: \(y = \pm \frac { 1 } { 4 } x\)
• D) Vertices: \(( 0,4 ) , ( 0 , - 4 ) ;\) Asymptotes: \(y = \pm 1 x\)

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Definitions:

Approach and Avoidance

Psychological concepts referring to individuals' tendencies to move towards or away from specific stimuli or situations based on perceived outcomes.

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An individual's perceptions and beliefs about their own academic abilities and potential, which can influence motivation, engagement, and performance in educational settings.

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Techniques and methods applied to enhance learning and retention of material for academic success.

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A type of motivation that occurs when an activity is valued and deemed important, thus accepted as personally significant.