Unit 3 Review Honors Algebra II 3.1-3.5

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What is the general form of an absolute value function?

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'a' indicates the vertical stretch or compression and the direction of the graph. If 'a' is positive, the graph opens upwards; if negative, it opens downwards.

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Start at the vertex (0, 1). The graph opens upwards with slopes of 1 and -1 on either side of the vertex.

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Changing 'k' shifts the graph vertically. If 'k' is positive, the graph moves up; if negative, it moves down.

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Set y to 0 and solve for x: 0 = -|x - 2| + 4, leading to x = 0 and x = 4.

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

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The vertex is the highest or lowest point of the graph, depending on the value of 'a'. It represents the minimum or maximum value of the function.