trig graphs and graph transformations

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13 Terms

1
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sine graph

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2
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cosine graph

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3
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tan graph

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4
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transformation: f(x + k)

f(x) is moved k to the right

5
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transformation: f(x - k)

f(x) is moved k to the left

6
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transformation: f(x) + k

f(x) is moved k upwards

7
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transformation: f(x) - k

f(x) is moved k downwards

8
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transformation: af(x) when a is bigger than 1

f(x) is stretched vertically by the factor of a

9
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transformation: af(x) when a is less than 1 and bigger than 0

f(x) is squashed vertically by the factor of a

10
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transformation: af(x) when a is less than 0

f(x) is reflected in the x axis

11
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transformation: f(ax) when a is bigger than 1

f(x) is squashed horizontally by a factor of a

12
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transformation: f(ax) when a is less than 1 and bigger than 0

f(x) is stretched horizontally by a factor of a

13
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transformation: f(ax) when a is less than 0

f(x) is reflected in the y axis