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just olya [345]
3 years ago
6

Identify this conic section. 16y = x^2

Mathematics
1 answer:
kiruha [24]3 years ago
7 0

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.

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Step-by-step explanation:

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