Find the linear transformations w=f(z) that satisfy: (a) The points z_1=2 and z_

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Find the linear transformations w=f(z) that satisfy: (a) The points z_1=2 and z_2=-3i map onto w_1=1+i and w_2=1. (b)The circle |z|=1 maps onto the circle |w-3+2i|=5 and f(-i)=3+3i. (c) The triangle with vertices -4+2i, -4+7i, and 1+2i maps onto the triangle with vertices 1, 0, and 1+i, respectively. I need help figuring out how to set them up, I looked through my book to see if there was some kind of formula but i couldn't find one, so helping me set them up step by step would be nice too. Thank you.

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