Answer
Fill the blank with
... $(-1,4)$ ...
Work Step by Step
Standard form with center at $(h,k)$,
major and minor axes of lengths $2a$ and $2b$
(where $a$ and $b$ are positive, and $a^{2} > b^{2}$),
major axis parallel to the x-axis, horizontal:
$\displaystyle \frac{(x-h)^{2}}{a^{2}}+ \displaystyle \frac{(y-k)^{2}}{b^{2}}=1$
Center:$ (h, k)$
Vertices: $(h-a, k),\quad (h+a, k) $
---------
$\displaystyle \frac{(x-(-1))^{2}}{a^{2}}+ \displaystyle \frac{(y-4)^{2}}{b^{2}}=1$
$h=-1$
$k=4$
Fill the blank with
... $(-1,4)$ ...
