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Function Transformations (Vertex) - Single Transformed Vertex (Variables) 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.

WorksheetView

Function Transformations (Vertex) - Single Transformed Vertex (Variables) to Transformation Worksheet

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Function Transformations (Vertex) - Single Transformed Vertex (Variab...
1
A LaTex expression showing (a, w times b)
If the vertex of f(x) is (a,b), which function g(x) would have this vertex?
a A LaTex expression showing g(x) = w times f(x)
b A LaTex expression showing g(x) = f(w times x)
2
A LaTex expression showing (a over m , b)
If the vertex of f(x) is (a,b), which function g(x) would have this vertex?
a A LaTex expression showing g(x) = f(m times x)
b A LaTex expression showing g(x) = m times f(x)
3
If the vertex of f(x) is (a,b), which function g(x) would have this vertex?
A LaTex expression showing (a, b-z)
a A LaTex expression showing g(x) = f(x)+ z
b A LaTex expression showing g(x) = f(x+ z)
c A LaTex expression showing g(x) = f(x)- z
4
A LaTex expression showing (a, -b)
If the vertex of f(x) is (a,b), which function g(x) would have this vertex?
a A LaTex expression showing g(x) = f(-x)
b A LaTex expression showing g(x) = - f(x)
5
If the vertex of f(x) is (a,b), which function g(x) would have this vertex?
A LaTex expression showing (a-p, b)
a A LaTex expression showing g(x) = f(x+ p)
b A LaTex expression showing g(x) = f(x- p)
c A LaTex expression showing g(x) = f(x)- p
6
A LaTex expression showing (a over n , b)
If the vertex of f(x) is (a,b), which function g(x) would have this vertex?
a A LaTex expression showing g(x) = n times f(x)
b A LaTex expression showing g(x) = f(n times x)
7
If the vertex of f(x) is (a,b), which function g(x) would have this vertex?
A LaTex expression showing (a, b-r)
a A LaTex expression showing g(x) = f(x+ r)
b A LaTex expression showing g(x) = f(x)+ r
c A LaTex expression showing g(x) = f(x)- r
8
A LaTex expression showing (a, p times b)
If the vertex of f(x) is (a,b), which function g(x) would have this vertex?
a A LaTex expression showing g(x) = p times f(x)
b A LaTex expression showing g(x) = f(p times x)