## College Algebra (6th Edition)

Foci: $(1-\sqrt{7}, -2)$ and $(1+\sqrt{7},-2)$.
$16 > 9$ so the major axis is horizontal. Comparing with $\displaystyle \frac{(x-h)^{2}}{a^{2}}+ \displaystyle \frac{(y-k)^{2}}{b^{2}}=1$, $a=4,$ $b=3$ Center: $(h,k)= (1, -2)$ Vertices: $(h-a, k),\quad (h+a, k)$ $(1-4, -2),\quad (1+4, -2)$ $(-3, -2),\quad (5, -2)$ Foci are $c$ units right and $c$ units left of center, $c^{2}=a^{2}-b^{2}16-9=7$ $c=\sqrt{7}\approx 2.65$ Foci: $(1-\sqrt{7}, -2)$ and $(1+\sqrt{7},-2)$.