\textbf{146.} The parabola $6 = 6y - 12y - (x-1)^2$ has vertex $F$ and focus $F'$. An ellipse has foci $F$ and $F'$ and eccentricity $0.6$. What is the distance from the center of the ellipse to the origin?
\medskip
(1) $1$ \hfill (2) $\sqrt{2}$ \hfill (3) $\sqrt{3}$ \hfill (4) $2$
\bigskip