The Hyperbola Shown in the Calculator-Generated Graph Was Graphed in Function

Multiple Choice

The hyperbola shown in the calculator-generated graph was graphed in 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?
- $\frac{y^{2}}{36}-x^{2}=1$

A) $y_{1}=\sqrt{\frac{x^{2}}{36}+1}, y_{2}=-\sqrt{\frac{x^{2}}{36}+1}$

B) $y_{1}=6 \sqrt{x^{2}+1}, y_{2}=-6 \sqrt{x^{2}+1}$

C) $y_{1}=\sqrt{\frac{x^{2}}{36}-1}, y_{2}=-\sqrt{\frac{x^{2}}{36}-1}$

D) $y_{1}=\sqrt{x^{2}+36}, y_{2}=-\sqrt{x^{2}+36}$