graph transformations

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8 Terms

1
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y = f(x) + c

raise graph up by c units

2
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y = f(x) - c

lower graph down by c units

3
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y = f(x + c)

shift graph to the left by c units

4
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y = f(x - c)

shift graph to the right by c units

5
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y = kf(x)

multiply each y value by k

6
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y = f(kx)

multiply each x value by 1/k

7
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y = -f(x)

reflect graph over x axis

8
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y = f(-x)

reflect graph over y axis