Parabola

Constructs a parabola. The general function of a parabola is $f left parenthesis x right parenthesis equals a x squared plus b x plus c$ , with $a not equal to 0$ ; or, completing the square, $f left parenthesis x right parenthesis equals a open parentheses x plus fraction numerator b over denominator 2 a end fraction close parentheses squared plus fraction numerator 4 a c minus b squared over denominator 4 a end fraction$

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

Description

parabola(Real, Point, Vector)

Given a real $p$ , a point $V$ and a vector $v$ , constructs a parabola with focal semidistance equal to $p$ , vertex at point $V$ and direction given by $v$ .

parabola(Real, Point)

Given a real $p$ and a point $V$ , constructs a parabola with focal semidistance equal to $p$ , vertex at point $V$ and direction given by $left square bracket 0 comma 1 right square bracket$ .

parabola(Real, Vector)

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

parabola(Real, Point, Vector)

Given a real $p$ , constructs a parabola with focal semidistance equal to $p$ , vertex at the origin and direction given by $left square bracket 0 comma 1 right square bracket$ .

Focal semidistance, Focus, Directrix

Parabola

Syntax

Description

parabola(Real, Point, Vector)

parabola(Real, Point)

parabola(Real, Vector)

parabola(Real, Point, Vector)

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