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Graphing Absolute Value Functions Section 2.6 in your textbook

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Absolute Value Function Formula y = A|x-B|+C When using this formula, the vertex point of an absolute value function is (B, C).

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Find the vertex point of these absolute value functions: 1)y = 3|x-6|+5 2)y = -2|x+4|-7 3)y = |-x|+2 4)y = |-x-1| 5)y = |x| 1) (6, 5) 2) (-4, -7) 3) (0, 2) 4) (1, 0) 5) (0, 0)

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Graphing with a Table: Graph the function: y = 2|x-4|+2 Step 1: Find the vertex point. Step 2: Make a table where the vertex point is the middle value. Step 3: Fill in the table. Step 4: Plot the points. (4, 2) XY 22|2-4|+2 = 6 32|3-4|+2 = 4 42 52|5-4|+2 = 4 62|6-4|+2 = 6

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Graphing with the equation Graph the function: y = 3|x+1|-4 Step 1: Find the vertex point. Step 2: Plot the vertex point. Step 3: Use “m” of the equation to move to the next point. Step 4: Go back to the vertex point. Step 5: Use “-m” of the equation to move to the next point. Step 6: Connect the dots. (-1, -4)

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