### Home > INT3 > Chapter 7 > Lesson 7.1.4 > Problem 7-46

7-46.

Consider the graph at right. Homework Help ✎ What is the parent function for this graph?

What is the equation of the vertical asymptote?

Write a possible equation for this graph.

*y* = log(*x*)

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

*x* = 2

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)