Compare the Graph Of $p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9$

question 10

Multiple Choice

Compare the graph of $p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9$ with $p ( x ) = x ^ { 2 }$ .

• A) \(p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9\) shifts right \(3\) units, shifts downward \(9\) units, and shrinks by a factor of \(\frac { 1 } { 4 }\) .
• B) \(p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9\) shifts right \(3\) units, shifts upward \(9\) units, and stretches by a factor of \(4\) .
• C) \(p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9\) shifts left \(3\) units, shifts downward \(9\) units, and stretches by a factor of \(4\) .
• D) \(p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9\) shifts right \(3\) units, shifts upward \(9\) units, and shrinks by a factor of \(\frac { 1 } { 4 }\) .
• E) \(p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9\) shifts left \(3\) units, shifts upward \(9\) units, and stretches by a factor of \(4\) .

---

Definitions:

Psychological Disorders

Conditions characterized by abnormal thoughts, feelings, and behaviors that may cause distress or impair functioning.

Basic Standards

Fundamental criteria, benchmarks, or qualities that serve as a minimum acceptable level for something, often relating to quality, performance, or ethics.

Personality Disorder

A mental disorder defined by persistent unhelpful patterns of thought, behavior, and internal experiences.

Fear of Abandonment

An anxiety disorder characterized by persistent worry about being left alone or losing significant relationships, often stemming from early experiences.