Write Equations of Hyperbolas in Standard Form
-Foci $( 0 , - 9 ) , ( 0,9 )$

question 213

Multiple Choice

Write Equations of Hyperbolas in Standard Form
-Foci: $( 0 , - 9 ) , ( 0,9 )$ ; vertices: $( 0 , - 4 ) , ( 0,4 )$

• A) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 65 } = 1\)
• B) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 65 } = 1\)
• C) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 81 } = 1\)
• D) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 81 } = 1\)

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Definitions:

Formal Operational

The final stage in Piaget's theory of cognitive development, characterized by the ability to think abstractly, logically, and to carry out systematic planning.

Concept of Conservation

A cognitive ability in child development whereby the child learns that quantity or amount does not change despite a change in the form or arrangement of objects.

Object Permanence

The understanding that objects continue to exist even when they cannot be observed or heard, a concept developed during early childhood.

Abstract Reasoning

The ability to analyze information, detect patterns and relationships, and solve problems on a complex, abstract level.