4 - graphs and transformations

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9 Terms

1
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positive graphs

quadratic = smiley

cubic = uphill

quartic = W

2
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negative graphs

quadratic = sad

cubic = downhill

quartic = M

3
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f(x)+d

vertical translation up by d units

4
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f(x+d)

horizontal translatoin left by d units

5
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-f(x)

reflection in the x-axis

6
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f(-x)

reflection in the y-axis

7
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af(x)

vertical stretch/compression (multiply y coordinates by a)

8
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f(ax)

horizontal compression/stretch (multiply x coordinates by 1/a)

9
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how to find asymptotes of reciprocal graph

a fraction never equals zero

a denominator is never zero