A Function F Is Given, and the Indicated Transformations Are $f ( x ) = | x |$

question 30

Essay

A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph. $f ( x ) = | x |$
; shift to the left $\frac { 1 } { 2 }$
unit, shrink vertically by a factor of 0.2, and shift downward 2 units.

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Definitions:

Automatic Reactions

Instantaneous responses or behaviors that occur without conscious decision-making, often as a result of learned behaviors or innate reflexes.

Racial Bias

Prejudice or preferential treatment towards people based on their race, often rooted in stereotypes and societal structures.

Fatigue

A state of physical or mental exhaustion that can result from prolonged stress, physical activity, or illness.

Implicit Racial Associations

Refers to unconscious biases or attitudes towards other races that individuals may hold, affecting their behaviors and judgments without explicit awareness.