Question

Graph f(x) = log5 (x-3).

Answer 1

Step-by-step explanation:

We want to graph:

$f(x) =\log_{5}(x - 3)$

We first graph the parent function

$g(x) =\log_{5}(x)$

This parent function has x-intercept at (1,0) and it is asymptotic to the y-axis.

We then shift the graph of the parent function 3 units right, to obtain the graph of

$f(x) =\log_{5}(x - 3)$

The new x-intercept will be (4,0) and vertical asymptote will now be x=3.

See attachment.