Find the Curvature $K$ Of the Curve $y = 2 x ^ { 2 }$

Multiple Choice

Find the curvature $K$ of the curve $y = 2 x ^ { 2 }$ at x = 0.

A) 0
B) $\frac { 1 } { 8 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 2 }$
E) 1
F) 2
G) 4
H) 8