In this question,

fandgare both affine transformations. The

transformation

fis reflection in the liney=x −1, and the transformation

gmaps the points (0

,0), (1,0) and (0,1) to the points (3,−1), (4,−1) and

(3,-2), respectively.

(a) Determine

gin the formg(x) =Ax+a, whereAis a 2×2 matrix

and

ais a vector with two components.

(b) Express

fas a composite of three transformations: a translation,

followed by a reflection in a line through the origin, followed by a

translation. Hence determine

fin the same form as you foundgin

part (a).

I have answers to these questions but I'm really not sure if they're right, so if someone could put up the correct answers so I can see how I did then that would be great! Thanks