Consider the graph below.

1. What is the parent for this function?

   Hint (a):

   Notice that it has a vertical asymptote.

   Answer (a):

   $y = \operatorname{log} \left(x\right)$

2. What is the equation of the vertical asymptote?

   Hint (b):

   At what point does the vertical asymptote cross the x-axis?

   Answer (b):

   $x = 2$

3. Write a possible equation for this graph.

   Hint (c):

   How is the graph shifted?

   Answer (c):

   $y = \operatorname{log}_{2}\left(x − 2\right)$