[tex]\bf \textit{ellipse, horizontal major axis}\\\\
\cfrac{(x-{{ h}})^2}{{{ a}}^2}+\cfrac{(y-{{ k}})^2}{{{ b}}^2}=1
\qquad
\begin{cases}
center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}\pm a, {{ k}})\\
\textit{major axis}\ a+a\\
\textit{minor axis}\ b+b
\end{cases}
\\\\\\
\cfrac{x^2}{25}+\cfrac{y^2}{4}=1\implies \cfrac{(x-0)^2}{5^2}+\cfrac{(y-0)^2}{2^2}=1\quad
\begin{cases}
h=0\\
k=0\\
a=5\\
b=2
\end{cases}[/tex]
thus, check the picture below.
