Hi there. I have to find the image under the transformation for the region given in the pic.

So, I tried to analyze what would happend. I know that:

And I've tried to express the region under consideration, I did it this way, I'm not pretty sure if this is right.

Then I should get

But doesn't give enough information to get the image under the transformation. So then I've tried to get the image for the lines.

Which gives something like semi infinite lines in w, right? but that would be wrong having in mind the limitations for the modulus in w.

And I don't know how to trasnform the other line, y=1-x.