Step 1

Graph of \(\displaystyle{f{{\left({x}\right)}}}={{\log}_{{{2}}}{x}}\)

Answer: Graph of \(\displaystyle{h}{\left({x}\right)}=-{1}+{{\log}_{{{2}}}{x}}\). The graph is translated down 1 unit from the graph f(x).

The vertical asymptote is \(\displaystyle{x}={0}\). The x-intercept is (2,0. The domain of h(x) is \(\displaystyle{\left\lbrace{x}{\mid}{x}{>}{0}\right\rbrace}\). The range is all real numbers.