Use the Graph Of $f ( x ) = x ^ { 2 }$

question 120

Multiple Choice

Use the graph of $f ( x ) = x ^ { 2 }$ to write a function that represents the graph given below.

• A) \(h ( x ) = - ( x + 3 ) ^ { 2 }\)
• B) \(h ( x ) = ( x + 3 ) ^ { 2 }\)
• C) \(h ( x ) = ( x - 3 ) ^ { 2 }\)
• D) \(h ( x ) = x ^ { 2 } + 3\)
• E) \(h ( x ) = - ( x - 3 ) ^ { 2 }\)

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Definitions:

Facilitative Conditions

Conditions that enhance the progress or effectiveness of a process, often used in the context of therapy or learning environments to describe factors that help individuals feel supported and understood.

Rogers

Refers to Carl Rogers, a pioneering psychologist who founded the person-centered approach to therapy, emphasizing empathy, congruence, and unconditional positive regard.

Personality Change

An alteration in an individual's characteristic patterns of thinking, feeling, and behaving, which can be due to various factors including traumatic events or psychological interventions.

Motivational Interviewing

This is a counseling approach that helps individuals motivate themselves to change their behavior by exploring and resolving ambivalence.