Finding The Focus and Directrix of a Parabola - Conic Sections

This video tutorial provides a basic introduction into parabolas and conic sections. It explains how to graph parabolas in standard form and how to graph parabolas with the focus and directrix. The vertex of the parabola can be identified by analyzing the equation in standard form.
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Errm please I want to ask why when plotting the graph when the focus and directrix are given, the focus becomes positive and the directrix negative. Like in example 4.

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is it possible to have -y², if it is, how do we graph it?

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how do you know the vertex is centered at the origin?

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