Transformations of Functions

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9 Terms

1
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y = f(x) + a

Vertical Shift Up

2
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y = f(x) - a

Vertical Shift Down

3
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y = f(x - a)

Horizontal Shift Right

4
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y = f(x + a)

Horizontal Shift Left

5
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y = a•f(x)

Vertical Stretch (Compress if 0 < x < 1)

6
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y = f(a•x)

Horizontal Stretch (If 0 < x < 1, use 1/a)

7
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y = -f(x)

Reflection Over X-axis

8
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y = f(-x)

Reflection Over Y-axis

9
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y = | f(x) |

Anything below the X-axis is reflected across the X-axis.