IMathAS-libretexts

Function Transformations
Figure 1 shows the graph of $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{x}}}$ . Figure 2 shows the graphs of 4 transformations of $\displaystyle {f{{\left({x}\right)}}}$ . Assume the constant 'a' is a positive real number. Match each of the four transformations with the correct graph
$\displaystyle \sqrt{{{x}}}-{a}$ $\displaystyle \sqrt{{{x}+{a}}}$ $\displaystyle \sqrt{{{x}}}+{a}$ $\displaystyle \sqrt{{{x}-{a}}}$ $\displaystyle {k}{\left({x}\right)}$ $\displaystyle {h}{\left({x}\right)}$ $\displaystyle {g{{\left({x}\right)}}}$ $\displaystyle {j}{\left({x}\right)}$
Figure 1 $\displaystyle {f{{\left({x}\right)}}}=\sqrt{{{x}}}$	Figure 2