Transformation Rules

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Last updated 2:50 AM on 9/29/26
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9 Terms

1
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f(x) + a

up “a” units (y)

2
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f(x) - a

down “a” units (y)

3
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f(x-a)

right “a” units (x)

4
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f(x+a)

left “a” units (x)

5
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a ● f(x)

vertical dilation (y)

  • |a| < 1 → shrink

  • |a| > 1 → stretch


6
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7
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-f(x)

reflect over x-axis (y)

8
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f(ax)

horizontal dilation (x)

  • |a| > 1 → shrink

  • |a| < 1 → stretch

  • * to perform : original x / a


9
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f(-x)

reflect over y-axis (x)