AQA A-Level Further Maths D15-02 Conic Sections: Parabolas

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Very interesting to finally see where the 4a comes from, thanks.

MattEngarding
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From reading more on this subject, it seems the latus rectum is used in this form because it is also defined for an ellipse and hyperbola (scaled by eccentricity) and its property is useful to describe physical parameters of orbits in astronomy which follow conic section shapes.

forthrightgambitia
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When x = a, y = +- 2a making the distance 4a.

mil