Math- Library of functions and transformations

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Last updated 3:58 AM on 11/3/23
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18 Terms

1
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f(x)=c

None

2
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f(x)=x

(0,0)(1,1)(-1,-1)

3
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f(x)=X²

(0,0)(1,1)(-1,1)

4
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f(x)=x³

(0,0)(1,1)(-1,-1)

5
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f(x)=|x|

(0,0)(1,1)(-1,1)

6
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f(x)=square root of x

(0,0)(1,1)(4,2)

7
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f(x)=1/x

(0,0)(1,1)(-1,-1)

8
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y=-f(x)

Vertical reflection over the x-axis

9
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y=f(-x)

Horizontal reflection over the y-axis

10
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y=af(x), a>1

vertical stretch by a

11
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y=f(ax), a>1

horizontal shrink by 1/a

12
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y=af(x), a<1

Vertical shrink by a

13
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y=f(ax), a<1

Horizontal stretch by 1/a

14
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y=f(x)+k

Vertical shift up by k

15
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y=f(x)-k

Vertical shift down by k

16
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y=f(x+k)

Horizontal shift left by k

17
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y=f(x-k)

Horizontal shift right by k

18
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Order?

  1. Reflections, stretches and shrinks

  2. Shifts last