Find an Equation for the Surface Consisting of All Points $( 0 , - 2,0 )$

Multiple Choice

Find an equation for the surface consisting of all points that are equidistant from the point $( 0 , - 2,0 )$ and the plane $y = 2$ .

A) $z ^ { 2 } - x ^ { 2 } = - 8 y$
B) $x ^ { 2 } + y ^ { 2 } = 8 z$
C) $x ^ { 2 } + 8 y ^ { 2 } + z ^ { 2 } = 1$
D) $z ^ { 2 } - 8 y ^ { 2 } = x$
E) $z ^ { 2 } + x ^ { 2 } = - 8 y$