Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } y = x ^ { 2 } + 4 \\y = - x ^ { 2 } + 12\end{array}$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } y = x ^ { 2 } + 4 \\y = - x ^ { 2 } + 12\end{array}$$

A) $( 2,8 ) , ( - 2,8 )$
B) $( 8,2 ) , ( 8 , - 2 )$
C) $( 2,8 ) , ( 2 , - 8 ) , ( - 2,8 ) , ( - 2 , - 8 )$
D) $( 2,8 ) , ( 2 , - 8 )$