Answer: We have to translate the function 4 units to the right and 2 units up:
[tex]x^2+y^2=9\rightarrow(0)[/tex]The function (0) after translation would be as follows:
[tex]\begin{gathered} x^{2}+y^{2}=9 \\ \\ (x-4)^2+(y-2)^2=9\rightarrow(1) \end{gathered}[/tex]Plot:
Therefore equation (1) is the answer.