Graphing Absolute Value Functions

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What is the vertex of the absolute value function graph?

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CCSS.HSF-IF.C.7D

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This represents a V-shaped graph that opens upwards with the vertex at the origin (0, 0).

Tags

CCSS.HSF-IF.C.7D

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

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The coefficient 'a' affects the vertical stretch or compression of the graph. If |a| > 1, the graph is stretched; if 0 < |a| < 1, it is compressed.

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What is the equation of the graph with vertex (1, 3) that opens downwards?

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Tags

CCSS.HSF-IF.C.7D

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Tags

CCSS.HSF-IF.C.7D

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What is the significance of the vertex in an absolute value function?

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The vertex is the minimum or maximum point of the graph, depending on whether it opens upwards or downwards.

Tags

CCSS.HSF-IF.C.7D

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What is the equation of the graph that has a vertex at (0, -2) and opens upwards?

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Tags

CCSS.HSF-IF.C.7D

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How do you determine the direction in which the absolute value graph opens?

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If the coefficient of the absolute value term is positive, the graph opens upwards; if negative, it opens downwards.