graph transformations

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7 Terms

1
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y = -f(x)

reflection in x-axis

2
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y = f(-x)

reflection in y-axis

3
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y = -f(-x)

180° rotation (or reflection in y-axis, then x-axis

4
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y = f(x)+a

translation by (0)

(a)

5
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y = f(x+a)

translation by (-a)

(0)

6
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y = af(x)

vertical stretch by scale factor a

7
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y = f(ax)

horizontal stretch by scale factor 1/a