Find the Standard Form of the Equation of the Hyperbola $( \pm 5,0 ) \quad$

question 71

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics.
foci: $( \pm 5,0 ) \quad$ asymptotes: $y = \pm 3 x$

• A) \(\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 9 } = 1\)
• B) \(\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 9 } = 1\)
• C) \(\frac { y ^ { 2 } } { \frac { 5 } { 2 } } - \frac { x ^ { 2 } } { \frac { 45 } { 2 } } = 1\)
• D) \(\frac { x ^ { 2 } } { \frac { 5 } { 2 } } - \frac { y ^ { 2 } } { \frac { 45 } { 2 } } = 1\)
• E) \(\frac { x ^ { 2 } } { \frac { 45 } { 2 } } - \frac { y ^ { 2 } } { \frac { 5 } { 2 } } = 1\)

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Definitions:

Reality Principle

A psychoanalytic concept referring to the ego's management of the demands of the environment in a realistic manner, balancing them against the id's instincts.

Transference

The way the client perceives the therapist.

Therapist

A healthcare professional trained to treat emotional, mental health, or behavioral problems through various therapeutic techniques.

Cathexis

The attachment of libido to thoughts, objects, or parts of the body.