Sketch:

w=((i+z)/(i-z))

for:C\{z=x+iy,x≤0,y=0}

So basically for all z, ecxluding :x is less than or equal to zero and y=0.

I have solved for z which gives me:

z=((wi-i)/(w+1))

What is the easiest way to graph this? the lecturer graphed the answer but didnt really explain how to get the answer.