The Circle or Ellipse Shown in the Calculator-Generated Graph Was $y_{1}$

The circle or ellipse shown in the calculator-generated graph was created using function mode with a square viewing window. What are the two functions $y_{1}$ and $y_{2}$ that were used to obtain the graph whose equation is given?
- $(x-2) ^{2}+(y-2) ^{2}=1$

A) $\mathrm{y}_{1}=2+\sqrt{1+(\mathrm{x}-2) ^{2}}, \mathrm{y}_{2}=2-\sqrt{1+(\mathrm{x}-2) ^{2}}$

B) $\mathrm{y}_{1}=\sqrt{1-(\mathrm{x}-2) ^{2}}, \mathrm{y}_2=-\sqrt{1-(\mathrm{x}-2) ^{2}}$

C) $\mathrm{y}_{1}=2+\sqrt{1-(\mathrm{x}-2) ^{2}}, \mathrm{y}_{2}=2-\sqrt{1-(\mathrm{x}-2) ^{2}}$

D) $y_{1}=2+\sqrt{(x-2) ^{2}-1}, y_{2}=2-\sqrt{(x-2) ^{2}-1}$