Algebra II Unit 8: Transforming Functions

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Algebra

Functions

10th

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9 Terms

1
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Reflection over the x-axis
f(x) → -f(x)
2
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Reflection over the y-axis
f(x) → f(-x)
3
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Reflection over the origin
f(x) → -f(-x)
4
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Even function
f(x) \= f(-x)
5
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Odd function
f(x) \= -f(-x)
6
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Horizontal shift
f(x) → (right) → f(x-a); f(x) → (left) → f(x+a)
7
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Vertical shift
f(x) → (up) → f(x)+a; f(x) → (down) → f(x)-a
8
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Horizontal dilations
f(x) → (stretch) → f(x/a); f(x) → (shrink) → f(ax)
9
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Vertical dilations
f(x) → (stretch) → a*f(x); f(x) → (shrink) → f(x)/a