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Shifts in Absolute Value Graphs - Problem 6
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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