The analytical definition of a parabola states that the set of points in a plane is equidistant from a fixed point called "focus" and a fixed line called the "directrix line".
What is the analytical definition of a parabola?
The analytical definition of a parabola states that "set of all points in a plane are equidistance from the focus and the directrix of the parabola where the focus is not on the line.
The equation of a parabola is
y = ax² + bx + c
or
y = a(x - h)² + k
Here the coordinates (h, k) of a point on the parabola is said to be its "vertex" and the "focus" is at (h, k + 1/4 a).
Learn more about a parabola here:
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