Algebra II Transformations

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6 Terms

1
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af(b(x-h)+k

af: vertical stretch or shrink

b: horizontal stretch or shrink

(x-h) h: shifts horizontally left to right

k: moves function up or down

2
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3f(x) +4

Reflections/dilations vertically stretches of 3

Horizontal/vertical shifts: up 4

1st step to graph: multiply every y by 3

3
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-f(2x-6)

  • horizontally shrinks by ½

  • moves right 3

  • multiply every x by 1/2

4
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f(1/3x) - 7 

horizontal stretch of 3 

down 7

multiply every x by 3 

5
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1/2f(-x-4)

  • vertically shrinks by ½ - reflection over y -axis

  • moves left 4

  • multiply every x by -1

6
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f(-4(x-5)) + 2

horizontal shrink of ¼ - reflection over y-axis

moves right 5 up 2

multiply every x by -1/4