Determine the two equations necessary to graph the hyperbola with a graphing calculator.
-$$\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 9 } = 1$$
A) $y = \frac { 3 \sqrt { x ^ { 2 } - 25 } } { 5 }$ and $y = - \frac { 3 \sqrt { x ^ { 2 } - 25 } } { 5 }$

B) $y = \frac { 5 \sqrt { \mathrm { x } ^ { 2 } + 25 } } { 3 }$ and $y = - \frac { 5 \sqrt { \mathrm { x } ^ { 2 } + 25 } } { 3 }$

C) $y = \frac { 5 \sqrt { \mathrm { x } ^ { 2 } - 25 } } { 3 }$ and $\mathrm { y } = - \frac { 5 \sqrt { \mathrm { x } ^ { 2 } - 25 } } { 3 }$

D) $y = \frac { 3 \sqrt { x ^ { 2 } } - 5 } { 5 }$ and $y = - \frac { 3 \sqrt { x ^ { 2 } } - 5 } { 5 }$

Question

Determine the two equations necessary to graph the hyperbola with a graphing calculator.
-$$\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 9 } = 1$$
A) $y = \frac { 3 \sqrt { x ^ { 2 } - 25 } } { 5 }$ and $y = - \frac { 3 \sqrt { x ^ { 2 } - 25 } } { 5 }$

B) $y = \frac { 5 \sqrt { \mathrm { x } ^ { 2 } + 25 } } { 3 }$ and $y = - \frac { 5 \sqrt { \mathrm { x } ^ { 2 } + 25 } } { 3 }$

C) $y = \frac { 5 \sqrt { \mathrm { x } ^ { 2 } - 25 } } { 3 }$ and $\mathrm { y } = - \frac { 5 \sqrt { \mathrm { x } ^ { 2 } - 25 } } { 3 }$

D) $y = \frac { 3 \sqrt { x ^ { 2 } } - 5 } { 5 }$ and $y = - \frac { 3 \sqrt { x ^ { 2 } } - 5 } { 5 }$

Quizplus · Accepted Answer

Solving the given hyperbola equation for $y$ results in two equations, one for the positive and one for the negative square root, which correspond to the upper and lower halves of the hyperbola, respectively.

Determine the Two Equations Necessary to Graph the Hyperbola with a Graphing