Find the Center of the Sphere Whose Equation Is $x ^ { 2 } + 2 x + y ^ { 2 } - y + z ^ { 2 } = 0$

Multiple Choice

Find the center of the sphere whose equation is $x ^ { 2 } + 2 x + y ^ { 2 } - y + z ^ { 2 } = 0$ .

A) (2, 1, 0)
B) $( 2 , - 1,0 )$
C) $( - 2,1,0 )$
D) $( - 2 , - 1,0 )$
E) $\left( 1 , \frac { 1 } { 2 } , 0 \right)$
F) $\left( - 1 , \frac { 1 } { 2 } , 0 \right)$
G) $\left( 1 , - \frac { 1 } { 2 } , 0 \right)$
H) $\left( - 1 , - \frac { 1 } { 2 } , 0 \right)$