(a) The graph of $\displaystyle {f{{\left({x}\right)}}}={\left({x}+{20}\right)}^{{2}}$ can be obtained from shifting the graph of $\displaystyle {f{{\left({x}\right)}}}={x}^{{2}}$ to the 20 units.
(b) The graph of $\displaystyle {f{{\left({x}\right)}}}={x}^{{2}}+{20}$ can be obtained from shifting the graph of $\displaystyle {f{{\left({x}\right)}}}={x}^{{2}}$ 20 units.
(c) The graph of $\displaystyle {f{{\left({x}\right)}}}={20}\sqrt{{{x}}}$ can be obtained from the graph of $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{x}}}$ vertically by a factor 20.
(d) The graph of $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{20}{x}}}$ can be obtained from the graph of $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{x}}}$ horizontally by a factor $\displaystyle {\frac{{{1}}}{{{20}}}}$.

For each question, enter one of: left, right, upward, downward, stretching, shrinking