#### Answer

$ 25$, $-5$, $5$, $(0,-5)$, $(0,5)$
$ 9$, $-3$, $3$, $(-3,0)$, $(3,0)$.

#### Work Step by Step

From the given equation, we can see that the major axis is the y-axis. We can identify $a^2=25$; thus $a=5$ and the y-intercepts are $-5$ and $5$. This means that the graph passes through points $(0,-5)$ and $(0,5)$, the vertices.
We can also identify $b^2=9$. Thus $b=3$ and the x-intercepts are $-3$ and $3$. This means that the graph passes through points $(-3,0)$ and $(3,0)$.