Answer
Fill the blanks with
$(-2,-3)$ , $(6,-3)$
Work Step by Step
From Table 3:
Major axis horizontal (parallel to the x-axis)
$\begin{array}{lll}
\text{ Foci}&\text{ Vertices}&\text{ Equation}\\
{(h+c, k)}&{(h+a,k)}&{\displaystyle \frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1}\\
{(h-c,k)}&{(h-a,k)}&{a \gt b \gt 0\text{ and }b^{2}=a^{2}-c^{2}}\\ \end{array}$
Given $(h,k)=(2,-3), a=4$
The coordinates of the vertices are
$(h+a,k)=(6,-3)$
$(h-a,k)=(-2,-3)$
Fill the blanks with
$(-2,-3)$ , $(6,-3)$