Let $\bar { x }$ Denote the X-Coordinate of the Centroid of the Region Enclosed

Multiple Choice

Let $\bar { x }$ denote the x-coordinate of the centroid of the region enclosed by $x = 2 y - y ^ { 2 }$ and $x = 0 .$ Then $\bar { x }$ =

A) 1
B) $\frac { 2 } { 5 }$
C) $\frac { 93 } { 35 }$
D) $\frac { 3 } { 4 }$
E) 0