Eje Transverso X: $\frac{x^2}{2^2} - \frac{y^2}{1^2} = 1$
$$ \begin{aligned}
\textcolor{#ff33cc}{\vec{r}_1(t)} &= \langle \textcolor{#ff33cc}{+2\cosh(t)},\; \sinh(t) \rangle \\
\textcolor{#66a3ff}{\vec{r}_2(t)} &= \langle \textcolor{#66a3ff}{-2\cosh(t)},\; \sinh(t) \rangle
\end{aligned} $$
Eje Transverso Y: $\frac{y^2}{2^2} - \frac{x^2}{1^2} = 1$
$$ \begin{aligned}
\textcolor{#ff33cc}{\vec{r}_1(t)} &= \langle \sinh(t),\; \textcolor{#ff33cc}{+2\cosh(t)} \rangle \\
\textcolor{#66a3ff}{\vec{r}_2(t)} &= \langle \sinh(t),\; \textcolor{#66a3ff}{-2\cosh(t)} \rangle
\end{aligned} $$