Question

Identify this conic section. 16y = x^2

Answer 1

A parabola.

Step-by-step 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.