ANSWER
A parabola.
EXPLANATION
The given conic is :
[tex]16y = {x}^{2} [/tex]
This can be rewritten as:
[tex] {x}^{2} = 16y[/tex]
[tex] {x}^{2} = 4(4)y[/tex]
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.
