The shortest distance between the line $y - x = 1$ and the curve $x = y^2$ is

Question

( A ) $\frac{3\sqrt{2}}{5}$
( B ) $\frac{2 \sqrt{3}}{8}$
( C ) $\frac{\sqrt{3}}{4}$
( D ) $\frac{3\sqrt{2}}{8}$