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

Multiple Choice

Determine the two equations necessary to graph the hyperbola with a graphing calculator.
- $$y ^ { 2 } - 16 x ^ { 2 } = 16$$

A) $\mathrm { y } = 4 + \sqrt { \mathrm { x } ^ { 2 } }$ and $- \mathrm { y } = - 4 - \sqrt { \mathrm { x } ^ { 2 } }$
B) $y = 4 x ^ { 2 } + 4$ and $y = - 4 x ^ { 2 } - 4$
C) $y = 4 \sqrt { x ^ { 2 } + 1 }$ and $y = - 4 \sqrt { x ^ { 2 } + 1 }$
D) $y = 4 + \sqrt { x ^ { 2 } }$ and $y = 4 - \sqrt { x ^ { 2 } }$