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Function Transformations (Definition) - Double Definition (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.

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Function Transformations (Definition) - Double Definition (Variables) to Transformation Worksheet

Function Transformations (Definition) - Double Definition (Variables)...

Which function g(x) shows these transformations of f(x)?

$A LaTex expression showing \text{Vertical compression: }n\\\text{Horizontal compression: }r\\$

a $A LaTex expression showing g(x) = n times f(r times x)\\n>1\\r>1$

b $A LaTex expression showing g(x) = r times f(n times x)\\r<1\\n>1$

c $A LaTex expression showing g(x) = n times f(r times x)\\n<1\\r>1$

Which function g(x) shows these transformations of f(x)?

$A LaTex expression showing \text{Reflect in X-Axis}\\\text{Shift left: }r\\$

A LaTex expression showing g(x) = - f(x+ r)

A LaTex expression showing g(x) = f(-x+ r)

A LaTex expression showing g(x) = - f(x- r)

Which function g(x) shows these transformations of f(x)?

$A LaTex expression showing \text{Shift left: }z\\\text{Shift down: }p\\$

A LaTex expression showing g(x) = f(x+ z)- p

A LaTex expression showing g(x) = f(x+ z)+ p

A LaTex expression showing g(x) = f(x- z)- p

Which function g(x) shows these transformations of f(x)?

$A LaTex expression showing \text{Reflect in X-Axis}\\\text{Shift down: }w\\$

A LaTex expression showing g(x) = - f(x)- w

A LaTex expression showing g(x) = - f(x)+ w

A LaTex expression showing g(x) = f(-x)- w

Which function g(x) shows these transformations of f(x)?

$A LaTex expression showing \text{Reflect in Y-Axis}\\\text{Shift left: }p\\$

A LaTex expression showing g(x) = f(-x- p)

A LaTex expression showing g(x) = f(-x+ p)

A LaTex expression showing g(x) = f(-x)- p

Which function g(x) shows these transformations of f(x)?

$A LaTex expression showing \text{Shift left: }z\\\text{Shift down: }t\\$

A LaTex expression showing g(x) = f(x+ z)- t

A LaTex expression showing g(x) = f(x- z)- t

A LaTex expression showing g(x) = f(x+ t)- z

Which function g(x) shows these transformations of f(x)?

$A LaTex expression showing \text{Vertical stretch: }m\\\text{Horizontal stretch: }q\\$

a $A LaTex expression showing g(x) = q times f(m times x)\\q>1\\m<1$

b $A LaTex expression showing g(x) = m times f(q times x)\\m>1\\q>1$

c $A LaTex expression showing g(x) = m times f(q times x)\\m>1\\q<1$

Which function g(x) shows these transformations of f(x)?

$A LaTex expression showing \text{Horizontal stretch: }r\\\text{Shift left: }z\\$

a $A LaTex expression showing g(x) = f(r times x+ z)\\r>1$

b $A LaTex expression showing g(x) = f(r times x+ z)\\r<1$

c $A LaTex expression showing g(x) = r times f(x+ z)\\r>1$