Does anyone have any good links for loci in the complex plane? Preferably a video.

The book I has skims over it a bit too much.

Also if someone could help me with this question on my paper, I have no idea what to do, not in any rush though.

The complex numbers z and and w are represented respectively, by points P(x,y) and Q(u,v) in Argand Diagrams and

$\displaystyle w = z(1-z)$.

(a). Show that

$\displaystyle v=y(1-2x)$

and find an expression for u in terms of x and y.

(b). The point P moves along the line y=x. Find the Cartesian equation and the locus of Q.

Diolch yn fawr