Graphing Absolute Value Functions

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What is the parent function of absolute value?

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The graph shifts vertically by k units. If k is positive, it shifts up; if k is negative, it shifts down.

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The graph shifts horizontally to the right by h units if h is positive and to the left if h is negative.

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The graph shifts down 2 units.

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It reflects the graph across the x-axis.

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The vertex is at the point (3, 2).

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The coefficient 'a' affects the steepness of the graph. If |a| > 1, the graph is steeper; if 0 < |a| < 1, it is wider.

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The graph shifts left 4 units and down 1 unit.

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The domain is all real numbers, or (-∞, ∞).