Find the Center, Vertices and Foci of the Hyperbola $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1$

question 461

Multiple Choice

Find the center, vertices and foci of the hyperbola. $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1$

• A)Center: (0, 0)Vertices: \(( \pm 4,0 )\) Foci: \(( \pm \sqrt { 41 } , 0 )\)
• B)Center: (0, 0)Vertices: \(( 0 , \pm 4 )\) Foci: \(( 0 , \pm \sqrt { 41 } )\)
• C)Center: \(( 16,25 )\) Vertices: \(( \pm 5,0 )\) Foci: \(( \pm \sqrt { 41 } , 0 )\)
• D)Center: (0, 0)Vertices: \(( \pm 5,0 )\) Foci: \(( \pm \sqrt { 41 } , 0 )\)
• E)Center: \(( 16,25 )\) Vertices: \(( \pm 4,0 )\) Foci: \(( \pm \sqrt { 41 } , 0 )\)

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Definitions:

Self-Actualized Individual

A person who has achieved the highest level of growth and self-fulfillment, according to Maslow's hierarchy of needs.

Completely

An adverb indicating something has been done in a whole, full, or total manner, without omission.

Abram Maslow

A psychologist famous for formulating Maslow's hierarchy of needs, a theory of psychological health predicated on fulfilling innate human needs in priority, culminating in self-actualization.

Hierarchy of Needs

A psychological theory proposed by Abraham Maslow that categorizes human needs into five sequential levels from basic physical requirements to the need for self-actualization.