Identify the Parent Function and the Transformation Shown in the Graph

question 27

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 \(y\)-axis of \(y = | x + 4 | ; y = - | x + 4 |\)
• B) Horizontal shift of \(x\)-axis of \(y = | x + 4 | ; y = - | x + 4 |\)
• C) Reflection in the \(x\)-axis of \(y = | x - 4 | ; y = - | x - 4 |\)
• D) Reflection in the \(x\)-axis of \(y = | x | ; y = - | x + 4 |\)
• E) Reflection in the \(y\)-axis of \(y = | x | ; y = - | x - 4 |\)

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Definitions:

Predicting Condition

Refers to specifying the criteria or conditions under which certain outcomes are expected to occur.

Dunnett Test

A post hoc test used after ANOVA to compare multiple groups against a single control group, assessing if there are significant differences between the control and each of the other groups.

Scheffé Test

A statistical procedure for comparing more than two means while controlling the overall Type I error rate.

Analytical Comparisons

The process of examining similarities and differences between two or more items or data sets, often to evaluate or assess characteristics.