### Home > CCA2 > Chapter 8 > Lesson 8.2.2 > Problem8-96

8-96.

Consider the graph at right.

1. What is the parent for this function?

$y = \log(x)$

2. What is the equation of the vertical asymptote?

Where does the vertical asymptote cross the $x$-axis?

$x = 2$

3. Write a possible equation for this graph.

How is the graph shifted?

This equation is of the form $y = \log_b(x - 2)$. Notice that the point ($6, 2$) is on the graph. Use this point to determine the base.

$y = \log_2(x - 2)$