Complete the Square to Determine the Type of Curve Represented $x ^ { 2 } + 6 x - 3 y ^ { 2 } + 12 y = 12$

question 36

Essay

Complete the square to determine the type of curve represented by the equation. $x ^ { 2 } + 6 x - 3 y ^ { 2 } + 12 y = 12$

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Definitions:

Projection

A defense mechanism where individuals attribute their own unacceptable thoughts, feelings, and motives to another person.

Hypnotic Responsiveness

An individual's susceptibility to suggestions made during hypnosis.

Positive Attitudes

A mental state involving constructive thinking, optimism, and a positive outlook towards events, people, and situations.

High Extraversion Score

Indicates an individual who exhibits traits associated with extraversion, such as sociability, talkativeness, and assertiveness, to a greater degree than average.