Write an Equation for a Function That Has a Graph $y = x ^ { 2 }$

question 30

Multiple Choice

Write an equation for a function that has a graph with the given characteristics.
-The shape of $y = x ^ { 2 }$ but upside-down and vertically stretched by a factor of 6 .

• A) \(f ( x ) = ( x - 6 ) ^ { 2 }\)
• B) \(f ( x ) = - 6 x ^ { 2 }\)
• C) \(f ( x ) = 6 x ^ { 2 }\)
• D) \(f ( x ) = 6 ( x - 6 ) x ^ { 2 }\)

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Definitions:

Reality Therapy

A form of counseling that emphasizes personal responsibility and focuses on the present rather than the past, helping individuals choose more effective behaviors to fulfill their needs.

Contextual Therapies

Therapies that focus on understanding and addressing the individual's environment, relationships, and context as integral to the process of healing and change.

Constructivism

A theory in education and psychology suggesting that humans construct knowledge and meaning through experiences and interactions with the world.

Objective Reality

A concept referring to the existence of an external world independent of personal perceptions or beliefs.