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Function Transformations (Vertex) - Double Transformation (Variables) to Transformed Vertex

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) - Double Transformation (Variables) to Transformed Vertex Worksheet

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Function Transformations (Vertex) - Double Transformation (Variables)...
1
A LaTex expression showing g(x) = f(-t times x)
If the vertex of f(x) is (a,b), what is the vertex of g(x)?
a A LaTex expression showing (-a over t , b)
b A LaTex expression showing (a over t , -b)
2
If the vertex of f(x) is (a,b), what is the vertex of g(x)?
A LaTex expression showing g(x) = q times f(w times x)
a A LaTex expression showing (a over q , w times b)
b A LaTex expression showing (a over w , q times b)
3
If the vertex of f(x) is (a,b), what is the vertex of g(x)?
A LaTex expression showing g(x) = f(-x)- t
a A LaTex expression showing (-(a-t), b)
b A LaTex expression showing (a, -(b-t))
c A LaTex expression showing (-a, b-t)
4
If the vertex of f(x) is (a,b), what is the vertex of g(x)?
A LaTex expression showing g(x) = - f(x+ z)
a A LaTex expression showing (a-z, -b)
b A LaTex expression showing (a+z, -b)
c A LaTex expression showing (a, -(b-z))
5
If the vertex of f(x) is (a,b), what is the vertex of g(x)?
A LaTex expression showing g(x) = f(x+ t)- q
a A LaTex expression showing (a+t, b-q)
b A LaTex expression showing (a-t, b-q)
c A LaTex expression showing (a-q, b-t)
6
If the vertex of f(x) is (a,b), what is the vertex of g(x)?
A LaTex expression showing g(x) = - f(x)- p
a A LaTex expression showing (a, -(b-p))
b A LaTex expression showing (a, -(b+p))
c A LaTex expression showing (-a, b-p)
7
If the vertex of f(x) is (a,b), what is the vertex of g(x)?
A LaTex expression showing g(x) = w times f(-x)
a A LaTex expression showing (-a over w , b)
b A LaTex expression showing (a, -w times b)
c A LaTex expression showing (-a, w times b)
8
If the vertex of f(x) is (a,b), what is the vertex of g(x)?
A LaTex expression showing g(x) = f(q times x+ r)
a A LaTex expression showing (a-r, q times b)
b A LaTex expression showing (a over q +r, b)
c A LaTex expression showing (a over q -r, b)