graph transformations

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graph transformations

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8 Terms

1
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up by c units

y=f(x)+c

2
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down by c units

y=f(x)-c

3
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left by c units

y=f(x+c)

4
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right by c units

y=f(x-c)

5
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reflection over x axis

y=-f(x)

6
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reflection over y axis

y=f(-x)

7
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if a>1, vertical stretch. if 0<a<1 (it is a decimal), vertical compression

y=af(x)

8
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if b>1, horizontal compression; if 0<b<1, horizontal stretch.

y=f(bx)