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Function Transformations (Domain/Range) - Double Transformed Domain/Range (Values) to Transformation

Level 1

The topics in this unit focus on understanding how transformations change functions and the effects of stretch, compression, reflection, and moving the vertex. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function Transformations (Domain/Range) - Double Transformed Domain/Range (Values) to Transformation Worksheet

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Function Transformations (Domain/Range) - Double Transformed Domain/R...
1
If the domain of f(x) is [a,b], which function g(x) would have this domain?
A LaTex expression showing [a-3,b-3]
a A LaTex expression showing g(x) = f(x+ 3)- 3
b A LaTex expression showing g(x) = f(x- 3)- 3
2
A LaTex expression showing [a over 0.2 , b over 0.2 ]
If the domain of f(x) is [a,b], which function g(x) would have this domain?
a A LaTex expression showing g(x) = 0.2f(x)+ 5
b A LaTex expression showing g(x) = f(0.2x)+ 5
3
If the domain of f(x) is [a,b], which function g(x) would have this domain?
A LaTex expression showing [a+3,b+3]
a A LaTex expression showing g(x) = 4f(x- 3)
b A LaTex expression showing g(x) = 4f(x+ 3)
c A LaTex expression showing g(x) = 4f(x)+ 3
4
If the range of f(x) is [a,b], which function g(x) would have this range?
A LaTex expression showing [-0.2 times b,-0.2 times a]
a A LaTex expression showing g(x) = - 0.2f(x)
b A LaTex expression showing g(x) = 0.2f(-x)
c A LaTex expression showing g(x) = - f(0.2x)
5
A LaTex expression showing [a over 3 , b over 3 ]
If the domain of f(x) is [a,b], which function g(x) would have this domain?
a A LaTex expression showing g(x) = 3f(0.2x)
b A LaTex expression showing g(x) = 0.2f(3x)
6
If the range of f(x) is [a,b], which function g(x) would have this range?
A LaTex expression showing [-2-b,-2-a]
a A LaTex expression showing g(x) = - f(x)- 2
b A LaTex expression showing g(x) = - f(x)+ 2
c A LaTex expression showing g(x) = f(-x)- 2
7
A LaTex expression showing [a,b]
If the domain of f(x) is [a,b], which function g(x) would have this domain?
a A LaTex expression showing g(x) = - 0.2f(x)
b A LaTex expression showing g(x) = 0.2f(-x)
8
If the domain of f(x) is [a,b], which function g(x) would have this domain?
A LaTex expression showing [a-2,b-2]
a A LaTex expression showing g(x) = 4f(x- 2)
b A LaTex expression showing g(x) = 4f(x)- 2
c A LaTex expression showing g(x) = 4f(x+ 2)