Graphs and Transformations

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7 Terms

1
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y = f(x) + a

Translation by vector (0) (a)

2
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y = f(x+a)

Translation by vector (-a) (0)

3
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What happens to asymptotes when a function is translated

Asymptotes also translated

4
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y = af(x)

Stretch by scale factor a parallel to y axis

5
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y = f(ax)

Stretch by scale factor 1/a parallel to x axis

6
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y = -f(x)

Reflection in the x axis

7
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y = f(-x)

Reflection in the y axis