Transformations Formulas

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12 Terms

1
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y=f(x)+c

translates function up ‘c’ units

2
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y=f(x)-c

translates function down ‘c’ units

3
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y=f(x+c)

translates function left ‘c’ units

4
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y=f(x-c)

translates function right ‘c’ units

5
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y=-f(x)

reflects function over x-axis

6
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y=f(-x)

reflects function over y-axis

7
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y=af(x), |a|>1

stretches function vertically

8
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y=af|x|, 0<|a|<1

shrinks function vertically

9
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y=f(ax), |a|>1

shrinks function horizontally

10
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y=f(ax), 0<|a|<1

stretches function horizontally

11
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inside the function

  • affects x-coordinate

  • solve it

  • +/- then */div.

12
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outside the function

  • affects y-coordinate

  • PEMDAS

  • */div then +/-