A parabola has a vertex at the origin. The equation of the directrix of the parabola is y = 3. What are the coordinates of its focus? (0,3) (3,0) (0,–3) (–3,0)

The vertex is halfway between the directrix and the focus. The vertex is at (0, 0) and the directrix is a (0, 3). There are 3 units between them, so that means that the focus is 3 units the other way at (0, -3).

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Martebi Martebi · Answer 2 · 2022-06-07T18:07:52+02:00

Based on the scenario given above, the the coordinates of its focus is known to be (0, -3).

What is the parabola about?

A parabola is known to be a kind of plane curve that is said to be often mirror-symmetrical and it is one that can be called closed to U-shaped.

Note that the vertex is said to be in the middle between the directrix and the focus. So the vertex is at (0, 0) and also the directrix is a (0, 3).

Since there are found to be 3 units between them, we can say that the focus is 3 units the other part at (0, -3).

Therefore, Based on the scenario given above, the the coordinates of its focus is known to be (0, -3).

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