Describe the Transformations and Give the Equation for the Graph $f ( x ) = | x |$

question 244

Multiple Choice

Describe the transformations and give the equation for the graph.
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• A) It is the graph of \(f ( x ) = | x |\) translated 9 units to the right and 5 units down. The equation is \(y = | x - 9 | - 5\)
• B) It is the graph of \(f ( x ) = | x |\) translated 9 units to the right and 5 units down. The equation is \(y = | x + 9 | + 5\)
• C) It is the graph of \(f ( x ) = | x |\) translated 9 units to the right and 5 units down. The equation is \(y = | x - 9 | + 5\)
• D) It is the graph of \(f ( x ) = | x |\) translated 9 units to the right and 5 units down. The equation is \(y = | x + 9 | - 5\)

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Definitions:

Initiative Over Guilt

A concept from Erik Erikson's stages of psychosocial development, referring to the phase where children assert themselves more frequently through directing play and other social interactions, overcoming feelings of guilt for their actions and initiatives.

Learned Helplessness Orientation

A condition in which a person suffers from a sense of powerlessness, arising from a traumatic event or persistent failure to succeed, which is generalized to other situations.

Fixed Mindset

A belief that one's abilities, intelligence, and talents are fixed traits, leading to a tendency to avoid challenges and give up easily when faced with obstacles.

Authoritative

A parenting style characterized by high expectations, understanding, and support toward the child.