Find where the Mobius transformation f (z) = 2+1 maps the unit circle, the real axis, and 2 - 2 the imaginary axis. Also draw graphs of the unit circle and real and imaginary axes in the z-plane and their images in the w-plane. . Note that you only need to calculate the images of 0, -1, 1, -2, i, and co (note that f(oo) = lim f(z). assuming the limit exists).Circle Unit Circle F the Mobius Transformation- Real Axis F-Z-11 ///-/-ZZ-Z-I 2 3 .2. -2 2 2 2 2 Circle RTAXIS Reais Axis Axis) (=- Real AXS-) 24 W (Real Axis) (7-2- 2 W-plane 3 Mobius Transformtion iT Circle Rear Axis Imaginary Axis eal Axis ) (. z-Real Axis ( ) Z1-Z-11=/-ZZ-I = >-Imaginiry Axis) - x -1-Z