Sketch an exact rational function and two different modulus graphs

Given $F(x)=(2x-x^2)/(x^2-2x-3)$, find:

(i) the asymptotes;

(ii) where the curve cuts the axes;

(iii) the stationary point.

Hence sketch F and use it to obtain separate graphs of $y=|F(x)|$ and $y=(2|x|-x^2)/(x^2-2|x|-3)=F(|x|)$.