Details and Options
expr can be an equation or an
Association of properties.
Parabola properties returned are "Equation", "Focus ", "Vertex", "Directrix", "FocalParameter", "SemiAxisLength", "AxisOfSymmetry", "SemiLatusRectum", "RotationAngle" and "BaseConic".
The "BaseConic" property is an association of the properties "Equation", "RotationAngle" and "DisplacementFromOrigin", where "Equation" represents an isomorphic conic section based at the origin and aligned with the x-axis.
If the given expr describes a conic section other than a parabola, ResourceFunction["ParabolaProperties"] will issue a message indicating it is not a parabola but will still return the association of properties pertaining to the correct conic section.