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Function Transformations (Definition) - Single Transformation (Variables) to Definition

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) - Single Transformation (Variables) to Definition Worksheet

Function Transformations (Definition) - Single Transformation (Variab...

What does this transformation produce in f(x)?

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

a $A LaTex expression showing \text{Shift right: }w\\$

b $A LaTex expression showing \text{Shift left: }w\\$

c $A LaTex expression showing \text{Shift down: }w\\$

What does this transformation produce in f(x)?

$A LaTex expression showing g(x) = f(p times x)\\p<1$

a $A LaTex expression showing \text{Horizontal stretch: }p\\$

b $A LaTex expression showing \text{Vertical stretch: }p\\$

c $A LaTex expression showing \text{Horizontal compression: }p\\$

What does this transformation produce in f(x)?

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

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

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

c $A LaTex expression showing \text{Vertical stretch: }n\\$

What does this transformation produce in f(x)?

$A LaTex expression showing g(x) = t times f(x)\\t<1$

a $A LaTex expression showing \text{Vertical stretch: }t\\$

b $A LaTex expression showing \text{Horizontal compression: }t\\$

c $A LaTex expression showing \text{Vertical compression: }t\\$

What does this transformation produce in f(x)?

A LaTex expression showing g(x) = f(x+ m)

a $A LaTex expression showing \text{Shift down: }m\\$

b $A LaTex expression showing \text{Shift left: }m\\$

c $A LaTex expression showing \text{Shift right: }m\\$

What does this transformation produce in f(x)?

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

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

b $A LaTex expression showing \text{Horizontal stretch: }r\\$

c $A LaTex expression showing \text{Vertical stretch: }r\\$

What does this transformation produce in f(x)?

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

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

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

c $A LaTex expression showing \text{Shift right: }p\\$

What does this transformation produce in f(x)?

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

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

b $A LaTex expression showing \text{Shift up: }z\\$

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