2.6 College Algebra Transformations of Functions
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linear function
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y=mx+b
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constant function
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y=b
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identity function
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f(x)=x
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absolute value function
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f(x)=|x|
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quadratic function
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x^2
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cube function
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x^3
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square root function
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f(x)=√x
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cube root function
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f(x)=^3√x
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reciprocal functin
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1/x
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vertical stretch a•f(x)
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changed by a factor of \"a\", if a>1
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vertically shrunk a•f(x)
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changed by a factor of \"a\", if <0a<1
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horizontally shrunk f(ax)
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changed by a factor of \"a\", if a >1
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horizontally stretched f(ax)
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changed by a factor of \"a\", if 0<a<1
