Identify the Parent Function and the Transformation Shown in the Graph

question 108

Multiple Choice

Identify the parent function and the transformation shown in the graph. Write an equation for the function shown in the graph.

• A) Reflection in the \(x\)-axis of \(y = | x | ; y = - | x + 2 |\)
• B) Reflection in the \(y\)-axis of \(y = | x | ; y = - | x - 2 |\)
• C) Reflection in the \(y\)-axis of \(y = | x + 2 | ; y = - | x + 2 |\)
• D) Reflection in the \(x\)-axis of \(y = | x - 2 | ; y = - | x - 2 |\)
• E) Horizontal shift of \(x\)-axis of \(y = | x + 2 | ; y = - | x + 2 |\)

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Definitions:

SAD

Seasonal Affective Disorder, a type of depression that occurs at a certain time of the year, usually in winter.

Depression

A common and serious medical illness that negatively affects how you feel, the way you think, and how you act, causing feelings of sadness or a loss of interest in activities once enjoyed.

Winter Months

The coldest season of the year in polar and temperate zones, typically marked by short days, long nights, and lower temperatures.

Suprachiasmatic Nucleus

A tiny region in the brain's hypothalamus responsible for controlling circadian rhythms.