Answer
The parametric equation after the translation is
$c(t)=(7+5\cos t,4+12\sin t)$
Work Step by Step
The ellipse of Exercise 28 is parametrized by $c(t)=(5\cos t,12\sin t)$ for $-\pi \leq t\leq \pi$. The center is at the origin.
To translate the center of $c(t)$ at $(0,0)$ to $(7,4)$, we replace $c(t)=(5\cos t,12\sin t)$ by $c(t)=(7+5\cos t,4+12\sin t)$ for $-\pi \leq t\leq \pi$.
