Express the Function in the Formss the Function in the Form

question 157

Multiple Choice

Express the function in the formss the function in the form f(x) $$f ( x ) = a ( x - h ) ^ { 2 } + k$$ k a nd indicate the vertex.
- $$f ( x ) = 6 x ^ { 2 } - 12 x - 9$$

• A) \(f ( x ) = 6 ( x + 2 ) ^ { 2 } + 39\\
• vertex: ( - 2,39 )
• \)
• B) \(f ( x ) = 6 ( x - 1 ) ^ { 2 } - 15\)
• vertex: \(( 1 , - 15 )\)
• C) \(f ( x ) = 6 ( x + 1 ) ^ { 2 } + 9\)
• vertex: \(( - 1,9 )\)
• D) \(f ( x ) = 6 ( x - 2 ) ^ { 2 } + 3\)
• vertex: \(( 2,3 )\)

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Definitions:

Mirroring Transference

A psychoanalytic concept where the client projects and attributes their feelings or attitudes onto the therapist, who acts as a mirror reflecting the client's emotional states.

Classical Psychoanalysis

A method of psychotherapy that involves exploring unconscious desires and conflicts through techniques like dream interpretation and free association, rooted in Freudian theory.

Oedipal Process

A stage in psychoanalytic theory where a child identifies with the parent of the same sex and develops a desire for the parent of the opposite sex.

Adlerian Therapy

A psychological approach focusing on an individual's feelings of inferiority and striving for superiority, developed by Alfred Adler.