Solution
= Solution
Adding $4+3i$ is a <translation> by $(4,3)$ in the <complex plane>. The <ellipse> of part (i) therefore keeps its semiaxes and axis directions, with new centre $(2,2)$. Writing $v=X+iY$, its equation is
$$
\boxed{\frac{(X-2)^2}{16^2}+\frac{(Y-2)^2}{8^2}=1.}
$$
The third panel in the figure in part (b) shows the translated <ellipse>.