Consider the graph at right.

1. What is the parent function for this graph?

   Answer (a):

   $y=\log_bx$

2. What is the equation of the vertical asymptote?

   Hint (b):

   Where 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?

   More Help (c):

   This equation is of the form $y = \text{log}_{b}\left(x − 2\right)$. Notice that the point $\left(6, 2\right)$ is on the graph. Use this point to determine the base.

   Answer (c):

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