$[$ Transformations of the complex plane (other).]

Represent the homothety $H_{i}^{2}$ with center at point $i$ and coefficient 2 as a composition of a parallel translation and a homothety with center at point $O$.
$2(z-i)+i=2 z-i$.

## Answer

$H_{i}^{2}=T_{-i} \circ H_{0}^{2}$