Answer
Foci: $(-1, -2)$ and $(7, -2)$.
Work Step by Step
Bring to stadard form (divide with 1$8$)
$\displaystyle \frac{(x+3)^{2}}{18}+\frac{(y-2)^{2}}{2}=1$
$a^{2}=18,$ (main axis horizontal),
$a=\sqrt{18}=3\sqrt{2}\approx 4.24$
$b^{2}=2$,
$b=\sqrt{2}\approx 1.41$
Center: $(h,k)=(3,-2)$
$c^{2}=a^{2}-b^{2}=18-2-16,$
$c=4$
Foci are $c$ units right and $c$ units left of center.
Foci: $(-1, -2)$ and $(7, -2)$.
