Write $x ^ { 2 } - 2 x - y ^ { 2 } + 6 y = 24$

question 76

Multiple Choice

Write $x ^ { 2 } - 2 x - y ^ { 2 } + 6 y = 24$ in standard form.

• A) \(\frac { ( x - 1 ) ^ { 2 } } { 16 } - \frac { ( y + 3 ) ^ { 2 } } { 16 } = 1\)
• B) \(\frac { ( x - 1 ) ^ { 2 } } { 16 } - \frac { ( y - 3 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( x - 1 ) ^ { 2 } } { 24 } - \frac { ( y + 3 ) ^ { 2 } } { 24 } = 1\)
• D) \(\frac { ( x - 1 ) ^ { 2 } } { 24 } - \frac { ( y - 3 ) ^ { 2 } } { 24 } = 1\)

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Definitions:

Psychoanalytic Theory

A theory of personality development and therapeutic framework that posits human behavior is influenced by unconscious motives.

Analytic Event

An occurrence or activity designed for analysis, often used in the context of psychotherapy or psychological research to observe behaviors and reactions.

Working Through

A psychoanalytic process involving the repeated examination and exploration of problems, emotions, and past experiences to achieve insight and resolve internal conflicts.

Interpretation

In therapy, the act of a therapist explaining or providing insight into aspects of a client's thoughts, behaviors, or dreams to uncover underlying meanings.