Sketch the Graph of the Equation $2 x ^ { 2 } + 2 y ^ { 2 } = 4$

Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and
radius.
- $2 x ^ { 2 } + 2 y ^ { 2 } = 4$

A) center $( 2,2 )$ ; radius $= 2$

B) center $( 2,2 )$ ; radius $= \sqrt { 2 }$

C) center $( 0,0 )$ ; radius $= \sqrt { 2 }$

D) center $( 0,0 )$ ; radius $= 2$