ANSWER
A parabola.
EXPLANATION
The given conic is :

This can be rewritten as:


This is a parabola with the vertex at the origin.
The foci is (0,4)
Therefore the given conic section is a parabola that has an axis of symmetry parallel to the y-axis.
1/6 + 1/12 = 1/4
If you need me to explain how I got the answer I am more than happy!
I hope this helps!
Y=4.56 I hope you like this totally correct answer