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?
-$\frac{y^{2}}{36}-\frac{x^{2}}{25}=1$

A) $y_{1}=5 \sqrt{x^{2}+36}, y_{2}=-5 \sqrt{x^{2}+36}$
B) $y_{1}=6 \sqrt{\frac{x^{2}}{25}-1}, y_{2}=-6 \sqrt{\frac{x^{2}}{25}-1}$
C) $y_{1}=6 \sqrt{\frac{x^{2}}{25}+1}, y_{2}=-6 \sqrt{\frac{x^{2}}{25}+1}$
D) $y_{1}=6 \sqrt{x^{2}-25}, y_{2}=-6 \sqrt{x^{2}-25}$

Question

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?
-$\frac{y^{2}}{36}-\frac{x^{2}}{25}=1$

A) $y_{1}=5 \sqrt{x^{2}+36}, y_{2}=-5 \sqrt{x^{2}+36}$ 
B) $y_{1}=6 \sqrt{\frac{x^{2}}{25}-1}, y_{2}=-6 \sqrt{\frac{x^{2}}{25}-1}$ 
C) $y_{1}=6 \sqrt{\frac{x^{2}}{25}+1}, y_{2}=-6 \sqrt{\frac{x^{2}}{25}+1}$ 
D) $y_{1}=6 \sqrt{x^{2}-25}, y_{2}=-6 \sqrt{x^{2}-25}$

Quizplus · Accepted Answer

The Answer of 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?
-$\frac{y^{2}}{36}-\frac{x^{2}}{25}=1$

A) $y_{1}=5 \sqrt{x^{2}+36}, y_{2}=-5 \sqrt{x^{2}+36}$ 
B) $y_{1}=6 \sqrt{\frac{x^{2}}{25}-1}, y_{2}=-6 \sqrt{\frac{x^{2}}{25}-1}$ 
C) $y_{1}=6 \sqrt{\frac{x^{2}}{25}+1}, y_{2}=-6 \sqrt{\frac{x^{2}}{25}+1}$ 
D) $y_{1}=6 \sqrt{x^{2}-25}, y_{2}=-6 \sqrt{x^{2}-25}$

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