Answer
h(x)
Work Step by Step
(See table 4.5,
Transformations involving Logarithmic functions)
The parent function is $f_{1}(x)=\log_{3}x$,
graphed with a dashed black line (see below).
To obtain the given graph, we
1. shift it down by 1 unit (red dotted)
(The point (1,$-1)$ is the point (1,0) shifted down)
So the given graph is the graph of
$f_{1}(x)-1=\log_{3}x-1=h(x)$