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.
To obtain the given graph, we
1. reflect about the x-axis (red dotted), and
2. shift up 1 unit (blue)
(see graps below)
So the blue graph is the graph of
$1-f_{1}(x)=1-\log_{3}x=H(x)$
