+2

Function Transformations (Definition) - Single 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.

Worksheet ViewUnit

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

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

Which function g(x) shows this transformation of f(x)?

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

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

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

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

Which function g(x) shows this transformation of f(x)?

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

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

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

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

Which function g(x) shows this transformation of f(x)?

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

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

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

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

Which function g(x) shows this transformation of f(x)?

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

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

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

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

$A LaTex expression showing \text{Reflect in Y-Axis}\\$

Which function g(x) shows this transformation of f(x)?

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

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

Which function g(x) shows this transformation of f(x)?

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

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 this transformation of f(x)?

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

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 this transformation of f(x)?

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

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

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

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