Let GAMMA be the path with parametrization

gamma(t) = 2 - i + 3e^it

Sketch GAMMA indicating the direction of increasing t and identifying it's inital and final points in cartesian form.

By applying geometric description of the function f(z)= 5i(z + i) to GAMMA, sketch the path f(GAMMA). Indicate the direction of f(GAMMA) and identify it's inital and final points in cartesian form.

Write down the standard parametrization of f(GAMMA)

Help anyone please ?