Answer
$a.\qquad III$
$b.\qquad II$
$c.\qquad I$
$d.\qquad IV$
Work Step by Step
a.
The graph of $f(x)=\log_{2}x$ passes through (1,0), and (2,1).
This is graph III.
b.
If $f(x)=\log_{2}x$, then the graph of $g(x)= \log_{2}(-x)$
is obtained by reflecting the graph of f about the y axis .... graph II.
c.
If $f(x)=\log_{2}x$, then the graph of $g(x)= -\log_{2}(x)$
is obtained by reflecting the graph of f about the x axis .... graph I.
d.
If $f(x)=\log_{2}x$, then the graph of $g(x)= -\log_{2}(-x)$
is obtained by reflecting the graph of f about the x axis
and about the y axis ... graph IV
