Conic Sections: Parabolas: Example 1: y^2 + 10x = 0

in Threespeak3 months ago (edited)

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In this video I go over a quick example on parabolas and explain how to go about finding the focus and directrix of the parabola y2 + 10x = 0. The first thing to do is to re-write the parabola in the form I derived in my earlier video, namely y2 = 4px; where p is such that the “focus” is at (p , 0) and the “directrix” is the vertical line x = - p. Once we determine these for the example, we can easily sketch the parabola, which in this case is a horizontal parabola opening up towards the negative x-axis. This is a quick video that illustrates the definition of a parabola well so make sure to watch this video!

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Conic Sections: Parabolas: Definition and Formula: .


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