Question

Identify this conic section. 16y = x^2

Answer 1

ANSWER

A parabola.

EXPLANATION

The given conic is :

$16y = {x}^{2}$

This can be rewritten as:

${x}^{2} = 16y$

${x}^{2} = 4(4)y$

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.