transformations

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Last updated 9:21 PM on 6/5/26
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10 Terms

1
New cards

f(x) + a

translates up by a units; (x, y+a)

2
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f(x) - a

translates down a units; (x, y-a)

3
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f(x -a)

translates right a units; (x+a, y)

4
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f(x+a)

translates left a units; (x-a, y)

5
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f(-x)

horizontal reflection over y axis;

(-x,y)

6
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-f(x)

vertical reflection over x axis; (x, -y)

7
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af(x), for a>1

vertical stretch by a factor of a; (x, ay)

8
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af(x), for 0<a<1

vertical shrink by a factor of 1/a; (x, ay)

9
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f(ax), for a>1

horizontal shrink by a factor of a; (x/a, y)

10
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f(ax), for 0<a<1

horizontal stretch by a factor of 1/a;(x/a, y)