Find the Standard Form of the Equation of the Hyperbola $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$

question 72

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0,±4) focies: (0,±5)

• A) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1\)
• B) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 25 } = 1\)
• C) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 9 } = 1\)
• D) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 9 } = 25\)
• E) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 25 } = 1\)

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Definitions:

Concrete Operational Stage

A stage of cognitive development in children, according to Piaget, occurring roughly between the ages of 7 and 11, where they start to think logically about concrete events.

Formal Operational Stage

A developmental phase, identified by Jean Piaget, where individuals (starting in adolescence) develop the ability to think abstractly and logically.

Preoperational Stage

A stage in Jean Piaget's theory of cognitive development (approximately ages 2 to 7) where children begin to use language and think symbolically, yet their thinking is still intuitive and egocentric.

Private Speech

Verbal communication directed at oneself for the purposes of self-guidance or self-regulation, often observed in children as part of their cognitive development.