How can I transform a line in the z plane to a circle in the w plane?

[nokia8650]

http://img154.imageshack.us/img154/4286/70338217.th.jpg

I am able to do part a - however am unsure on how to do the second part. Please can someone help with this.


Thanks

 

[Dick]

Just find the transformation that maps the circle |w|=1 into into the circle around 3-i of radius 2. Then you can use a) to finish it.

 

[nokia8650]

Thank you very much!