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  • https://math.libretexts.org/Courses/Mission_College/Math_001%3A_College_Algebra_(Kravets)/08%3A_Analytic_Geometry/8.04%3A_The_Parabola
    Like the ellipse and hyperbola, the parabola can also be defined by a set of points in the coordinate plane. A parabola is the set of all points in a plane that are the same distance from a fixed line...Like the ellipse and hyperbola, the parabola can also be defined by a set of points in the coordinate plane. A parabola is the set of all points in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix.

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