Compressing and Stretching Graphs Horizontally Practice

1. This is the graph of function $f(x)=\log_3(x)$:

   
   

   What is the graph of $g(x)=\log_3\left( \dfrac{x}{3} \right)$?

   Choose 1 answer:
   

   1. 
   2. 
   3. 

   4. 

2. This is the graph of function $f$:

   
   

   Function $g$ is defined as $g(x)=f\left( \dfrac{1}3x \right)$.
   

   What is the graph of $g$?
   

   Choose 1 answer:
   

   1. 
   2. 
   3. 

   4. 

3. $f(x)=|x+2|-2$ and $g$ is a horizontally scaled version of $f$. The functions are graphed where $f$ is solid and $g$ is dashed.

   
   

   
   

   
   

   Choose 1 answer:
   

   1. $g(x)=|4x+2|-2$
      
   2. $g(x)=\left|\dfrac{1}4 x+2\right|-2$
      
   3. $g(x)=|2x+2|-2$
      

   4. $g(x)=\left|\dfrac{1}2 x+2\right|-2$

4. Function $g$ is a horizontally scaled version of function $f$. The functions are graphed where $f$ is solid and $g$ is dashed.

   
   

   What is the equation of $g$ in terms of $f$?

   Choose 1 answer:
   

   1. $g(x)=f(2x)$
      
   2. $g(x)=f\left( \dfrac{1}2 x \right)$
      
   3. $g(x)=f(4x)$
      
   4. $g(x)=f\left( \dfrac{1}4 x \right)$

Source: Khan Academy, https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:scale/e/scale-functions-horizontally
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.