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Im doing a course in Differential Calculus and we are up to Euler's formula and representing complex functions of a complex variable. I'm finding it really difficult to visualise/sketch these types of functions: z|-->z^2 such that {z=x+2i}, or z|-->e^z = w such that {z=(-1+i)t | t e R, t>_0}

Could someone please explain to me how to sketch these sorts of things, or direct me to an explanation? For instance, in the first of these above equations, i've gone z^2 = x^2 - 4 + 4xi but then I get mixed up with the axes: arn't they meant to be real and imaginary axis, not x and y, so what can I do with this x value?

Any help muchly appreciated!