A-transformation-f-on-a-complex-plane-is-defined-by-z-1-i-z-3-4i-show-that-f-is-a-simultitude-with-radius-r-and-centre-to-be-determined-Determine-to-the-invariant-point-under-f-

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Question Number 100583 by Rio Michael last updated on 27/Jun/20

$$\mathrm{A}\mathrm{transformation}f\mathrm{on}\mathrm{a}\mathrm{complex}\mathrm{plane}$$$$\mathrm{is}\mathrm{defined}\mathrm{by}{z}^{\prime }=(1+i)z-3+4i$$$$\mathrm{show}\mathrm{that}f\mathrm{is}\mathrm{a}\mathrm{simultitude}\mathrm{with}\mathrm{radius}r\mathrm{and}\mathrm{centre}$$$$\mathrm{\Omega }\mathrm{to}\mathrm{be}\mathrm{determined}.$$$$\mathrm{Determine}\mathrm{to}\mathrm{the}\mathrm{invariant}\mathrm{point}\mathrm{under}f.$$

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