Compressing and Stretching Graphs Practice

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

   
   

   What is the equation of ‍$g$?

   Choose 1 answer:
   

   1. $g(x)=\dfrac{2}5x^3+x^2$
   2. $g(x)=\dfrac{2}5x^3+\dfrac{2}5x^2$
   3. $g(x)=\dfrac{5}2x^3+x^2$

   4. $g(x)=\dfrac{5}2x^3+\dfrac{5}2x^2$

2. This is the graph of function $f(x)=|x+3|-3$:

   
   

   What is the graph of $g(x)=3|x+3|-9$?

   Choose 1 answer:

   1. 
      
   2. 
      
   3. 
      

   4. 

3. Function $g$ is a vertically 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. $g(x)=\dfrac{1}2f(x)$
   2. $g(x)=\dfrac{1}4f(x)$
   3. $g(x)=2f(x)$

   4. $g(x)=4f(x)$

4. This is the graph of function $f(x)=\log_2(x)$:

   
   

   What is the graph of $g(x)=\dfrac{1}2\log_2(x)$?

   Choose 1 answer:

   1. 
      
   2. 
      
   3. 
      
   4. 
      

Source: Khan Academy, https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:scale/e/scale-functions-vertically
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