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.
- $$y ^ { 2 } - 64 x ^ { 2 } = 64$$

A) $y = 8 \sqrt { x ^ { 2 } + 1 }$ and $y = - 8 \sqrt { x ^ { 2 } + 1 }$
B) $y = 8 + \sqrt { x ^ { 2 } }$ and $- y = - 8 - \sqrt { x ^ { 2 } }$
C) $y = 8 + \sqrt { x ^ { 2 } }$ and $y = 8 - \sqrt { x ^ { 2 } }$
D) $y = 8 x ^ { 2 } + 8$ and $y = - 8 x ^ { 2 } - 8$