The axis of a parabola is y = x, and the vertex and focus are at a distance √2 and 2√2 respectively from the origin. Then, equation of the parabola is
A. (x - y) ² = 8(x + y - 2)
B. (x + y) ² = 2(x + y - 2)
C. (x - y) ² = 4(x + y - 2)
D. (x + y) ² = 2(x - y + 2)