1. The bilinear transformation which maps 0 2. The image of the x-axis under 3. The image of the y-axis under 4. A bilinear transformation mapping a circle to a circle must map the interior of one to the interior of the other.
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1. The bilinear transformation which maps 0 2. The image of the x-axis under 3. The image of the y-axis under 4. A bilinear transformation mapping a circle to a circle must map the interior of one to the interior of the other.
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-1, -1 
maps i 
is a straight line.