Answer
Fill the blanks with:
... $25$ ...
... $+5$ ... $-5$
... $(0,-5)$ ... $(0,5)$
... $9$ ...
... $-3$ ... $+3$
... $(0,-3)$ ... $(0,3)$
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 $a^{2} > b^{2}$):
$\displaystyle \frac{(x-h)^{2}}{b^{2}}+ \displaystyle \frac{(y-k)^{2}}{a^{2}}=1$
(major axis parallel to the $y$-axis, vertical)
---------
$\displaystyle \frac{x^{2}}{9}+\frac{y^{2}}{25}=1.$
$a^{2}=25, $
$b^{2}=9.$
Fill the blanks with:
... $25$ ...
... $+5$ ... $-5$
... $(0,-5)$ ... $(0,5)$
... $9$ ...
... $-3$ ... $+3$
... $(0,-3)$ ... $(0,3)$
