Question

# Write equations of two rational functions with graphs that are identical except that one is shifted vertically 3 units with respect to the other.

Rational functions
"Possible answers: $$\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{x}}$$ & $$\displaystyle{g{{\left({x}\right)}}}=\frac{{1}}{{x}}+{3}$$
$$\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{{x}+{2}}}$$ & $$\displaystyle{g{{\left({x}\right)}}}=\frac{{1}}{{{x}+{2}}}+{3}$$
$$\displaystyle{f{{\left({x}\right)}}}=\frac{{2}}{{{x}-{1}}}$$ & $$\displaystyle{g{{\left({x}\right)}}}=\frac{{2}}{{{x}-{1}}}+{3}$$