The reason you didn't get a full answer is not that we can't do the problem, it's because we want you to make the logical connections yourself. This is a well established teaching method. Perhaps it doesn't quite work for you but if we start just handing out answers then we are not doing our jobs IMHO. This is standard policy here and is only broken in few cases.

chiro: Can you show us what you have tried? Have you tried making the answer visual [i.e. drawing it]?

chiro: What about the attempts for the rotations and dilations?

chiro: "When you rotate around a point you subtract the point and then rotate the point counterclockwise by some angle. Have you looked at sines and cosines before?

Plato: There is a well-known transformation across the y-axis: $\displaystyle (x,y) \to (x',y') = \left\{ \begin{array}{l}x' = - x\\y' = y\end{array} \right.$

topsquark: Chiro is giving you a list of transformations you want to look for.

chiro: I'm not being cryptic - take a look at the rotation matrix in two dimensions for more information.

Plato: There is no reason for rotations, reflection about y=x, or dilations.

How is this discussion not helpful? We are trying to give you a chance at solving the problem as well as what to consider if you see similar problems in the future. You have had any number of opportunities to say "I don't follow what you are saying." I am not trying to insult you, simply to show you the nature of the discussion.

-Dan