2.6 Transformation of Functions
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Last updated 4:45 PM on 8/4/22
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10 Terms
1
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y=f(x)+c
Shift the graph of y=f(x) upward c units
2
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y=f(x)-c
Shift the graph of y=f(x) downward c units
3
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y=f(x-c)
Shift the graph of y=f(x) right c units
4
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y=f(x+c)
Shift the graph of y=f(x) left c units
5
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y=-f(x)
Reflect the graph of y=f(x) in the x-axis
6
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y=f(-x)
Reflect the graph of y=f(x) in the y-axis
7
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y=cf(x)
Stretch or shrink the graph of y=f(x) vertically by a factor of c
8
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y=f(cx)
Shrink or stretch the graph of y=f(x) horizontally by a factor of 1/c
9
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Even
Let f be a function, f is _____ if f(-x)=f(x) for all x in the domain of f
10
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Odd
Let f be a function, f is _____ if f(-x)=-f(x) for all x in the domain of f
