Function Transformation/Composition

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Last updated 1:11 AM on 2/5/26
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10 Terms

1
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f(x) = x²+2

translate up 2

2
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f(x) = x²-2

translate down 2

3
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f(x) = (x+2)²

translate right 2

4
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f(x) = (x-2)²

translate left 2

5
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f(x) = -√x

reflects across x-axis

6
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f(x) = √-x

reflects across y-axis

7
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f(x) = 1/2cosx

vertical compression by factor of 2

8
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f(x) = 2cosx

vertical stretch by factor by 2

9
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f(x) = cos2x

horizontal compression by factor of 2

10
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f(x) = cos1/2x

horizontal stretcg by factor of 2