Find the Center, Vertices and Foci of the Hyperbola $\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 1 } = 1$

question 487

Multiple Choice

Find the center, vertices and foci of the hyperbola. $\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 1 } = 1$

• A)Center: (0, 0)Vertices: \(( 0 , \pm 2 )\) Foci: \(( 0 , \pm \sqrt { 5 } )\)
• B)Center: (0, 0)Vertices: \(( \pm 2,0 )\) Foci: \(( 0 , \pm \sqrt { 5 } )\)
• C)Center: \(( 4,1 )\) Vertices: \(( \pm 2,0 )\) Foci: \(( \pm \sqrt { 5 } , 0 )\)
• D)Center: \(( 4,1 )\) Vertices: \(( 0 , \pm 2 )\) Foci: \(( 0 , \pm \sqrt { 5 } )\)
• E)Center: (0, 0)Vertices: \(( \pm 2,0 )\) Foci: \(( \pm \sqrt { 5 } , 0 )\)

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Definitions:

Constructionist Theories

Philosophical and sociological theories suggesting that social phenomena are constructed through social interactions and cultural norms.

Reintegrative Shaming

A criminal justice theory that focuses on the reintegration of offenders into society by expressing disapproval for the criminal act while still respecting the individual.

First-Time Offenders

People who have been legally convicted of a crime for the first time.

Anomie-Strain Theory

A sociological theory that suggests deviance and crime arise from the gap between culturally prescribed aspirations and the socially structured avenues for achieving those goals.