This is for complex analysis $,$ NOT computer science, please include all the sketched images not a computer generated $3$d model.

Find the image of the triangle with vertices $0,1$ and i under the linear

map $f(z)=(1-i)z-2$ by determining the appropriate $M,R$ and

$T$ maps that can be composed to "build" $f.$ Create a separate graph

for each of $M,R$ and $T$ that has both the triangle being "plugged

in$"$ and the resulting image. Be sure to label each of the vertices in

$a+bi$ format. $($It is allowable to plug the old corners into each of the

transforming functions to get the locations of the new vertices.$)$