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Transformations: Absolute Value

AB
y = |x| + 2shift up 2
y = |x + 2|shift left 2
y = |x - 2|shift right 2
y = |x| - 2shift down 2
y = |x + 2| + 2shift left 2 and up 2
y = |x + 2| - 2shift left 2 and down 2
y = |x - 2| + 2shift right 2 and up 2
y = |x - 2| - 2shift right 2 and down 2
y = 2 |x|narrow, vertical stretch
y = 1/2 |x|wide, vertical shrink
y = - |x|reflect over x-axis
y = 2 |x| + 2narrow, shift up 2
y = 2 |x| - 2narrow, shift down 2
y = 2 |x + 2|narrow, shift left 2
y = 2 |x - 2|narrow, shift right 2
y = -|x| + 2reflect, shift up 2
y = -|x| - 2reflect, shift down 2
y = -|x + 2|reflect, shift left 2
y = -|x - 2|reflect, shift right 2



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