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Parabola

Constructs a parabola. The general function of a parabola is f(x)=ax2+bx+c, with a0; or, completing the square, f(x)=ax+b2a2+4ac-b24a

Syntax

parabola(Real, Point, Vector)
parabola(Real, Point)
parabola(Real, Vector)
parabola(Real)

Description

Given a real p, a point V and a vector v, constructs a parabola with focal semi-distance equal to pp, vertex at point VV and direction given by vv.

calc.parabola1.calc.png
calc.parabola1.plotter0.calc.png

Given a real pp and a point VV, constructs a parabola with focal semidistance equal to pp, vertex at point VV and direction given by [0,1].

calc.parabola2.calc.png
calc.parabola2.plotter0.calc.png

Given a real pp and a vector vv, constructs a parabola with focal semidistance equal to pp, vertex at the origin and direction given by vv.

calc.parabola3.calc.png
calc.parabola3.plotter0.calc.png

Given a real pp, constructs a parabola with focal semidistance equal to pp, vertex at the origin and direction given by [0,1][0,1].

calc.parabola4.calc.png
calc.parabola4.plotter0.calc.png