CPM Homework Help : CCA2 Problem 8-96

Consider the graph at right.

Increasing curve, opening downward, in first & fourth quadrants, coming from negative infinity on right side of, x = 2, the vertical asymptote, Curve passes through the point (3, comma 0), and continues to increase slowly.

What is the parent for this function?
Answer (a):
$y=\log_b(x)$
What is the equation of the vertical asymptote?
Hint (b):
Where does the vertical asymptote cross the $x$ -axis?
Answer (b):
$x = 2$
Write a possible equation for this graph.
Hint (c):
How is the graph shifted?
More Help (c):
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.
Answer (c):
$y = \log_2(x - 2)$