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Shifts in Absolute Value Graphs - Problem 6

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Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

Perhaps the most important feature of an absolute value "v" is the vertex point of the v. If you try to pick x values to substitute into the equation and find the corresponding y's, it can be really hard (and frustrating) to find the vertex and show the graph's symmetry. As a shortcut, in the function y = a | x - h| + k, the point (h, k) represents the vertex. Put this x, y point in the middle of your x- y chart. Choose a couple x values above and below it to see the vertex and some symmetry of the v.

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