Graphing Functions Using Vertical and Horizontal Shift Practice

1. The graph of ‍$y=h(x)$ is a transformation of the graph of ‍‍$y=f(x)$.
   

   
   

   Write a formula for function ‍‍$h$ in terms of function ‍‍$f$.
   

   ‍$h(x)=$

2. The graph of ‍$y=x^2$ is shown on the grid below.

   
   

   Which of the following is the graph of ‍‍$y=(x+4)^2+2$?

   Choose 1 answer:
   

   1. 
   2. 
   3. 

   4. 

3. The graph of ‍$y=f(x)$ is shown on the grid below.

   
   

   Which of the following is the graph of ‍‍$y=f(x-4)+2$?

   Choose 1 answer:
   

   1. 
   2. 
   3. 

   4. 

4. The graph of $y=g(x)$ is a transformation of the graph of $y=f(x)$.

   
   
   

   Given that $f(x)=\sqrt{x+4}-2$, write an expression for $g(x)$ in terms of $x$.
   

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