Given the parametric equations $x=4\(\cos\)(t)-4$ and $y=4\(\sin\)(t)+4$ for $t$ $\in$ $[0, 2π]$, graph the corresponding curve. What is the rectangular equation of this curve?

${(x-4)}^2+{(y+4)}^2=4$

${(x-4)}^2+{(y+4)}^2=16$

${(x+4)}^2+{(y-4)}^2=16$

${(x+4)}^2+{(y-4)}^2=4$