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?
- $\frac{x^{2}}{4}-\frac{y^{2}}{25}=1$

A) $y_{1}=5 \sqrt{\frac{x^{2}}{4}+1}, y_{2}=-5 \sqrt{\frac{x^{2}}{4}+1}$

B) $y_{1}=5 \sqrt{\frac{x^{2}}{4}-1}, y_{2}=-5 \sqrt{\frac{x^{2}}{4}-1}$

C) $y_{1}=5 \sqrt{x^{2}-4}, y_{2}=-5 \sqrt{x^{2}-4}$

D) $y_{1}=2 \sqrt{x^{2}+5}, y_{2}=-2 \sqrt{x^{2}+5}$