Answer
$(7,-2)$
Work Step by Step
Transverse axis is vertical ( parallel to the y-axis )$:$
$\displaystyle \frac{(y-k)^{2}}{a^{2}}- \displaystyle \frac{(x-h)}{b^{2}}=1$
Center: $(h, k)$
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$\displaystyle \frac{(y-(-2))^{2}}{2^{2}}- \displaystyle \frac{(x-7)}{6^{2}}=1$
$(h, k)=(7,-2)$