Find the Vertices and Foci for the Ellipse $y ^ { 2 } = 4 - 2 x ^ { 2 }$

Multiple Choice

Find the vertices and foci for the ellipse. $y ^ { 2 } = 4 - 2 x ^ { 2 }$

A) Vertices: $( 0 , \pm \sqrt { 2 } )$ , foci: $( 0 , \pm 2 )$

B) Vertices: $( \pm 2,0 )$ , foci: $( 0 , \pm \sqrt { 2 } )$

C) Vertices: $( 0 , \pm 2 )$ , foci: $( 0 , \pm \sqrt { 2 } )$

D) Vertices: $( 0 , \pm 2 )$ , foci: $( \pm \sqrt { 2 } , 0 )$

E) none of these