Find the focus, directrix and vertex of a parabola in conic sections

Find the focus, directrix and vertex of a parabola in conic sections

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Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify the vertex, focus, and directrix of a parabola. It begins with determining the vertex using the formula y - K, where K is the y-coordinate of the vertex. The focus is found by solving for P in the equation 4P = 1/2, resulting in a focus point of (1/8, 2). Finally, the directrix is identified as a vertical line at X = -1/8. The tutorial emphasizes common mistakes and provides tips for correctly plotting these points.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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