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
ANSWERED
asked 2021-06-01
Write equations of two rational functions with graphs that are identical except that one is shifted vertically 3 units with respect to the other.

Expert Answers (1)

2021-06-02
"Possible answers: \(\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{x}}\) & \(\displaystyle{g{{\left({x}\right)}}}=\frac{{1}}{{x}}+{3}\)
\(\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{{x}+{2}}}\) & \(\displaystyle{g{{\left({x}\right)}}}=\frac{{1}}{{{x}+{2}}}+{3}\)
\(\displaystyle{f{{\left({x}\right)}}}=\frac{{2}}{{{x}-{1}}}\) & \(\displaystyle{g{{\left({x}\right)}}}=\frac{{2}}{{{x}-{1}}}+{3}\)
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