Question

What is the parabolic curve?

Answer 1

Parabolic curve

A set of points that forms a curve where each point on the curve is equidistant from the focus and the directrix is called a parabolic curve.

• It is a plane curve with a U shape with a mirror-symmetry.
• The general equations of the parabolic curve are: $y=a{\left(x-h\right)}^2+k$ or $x=a{\left(y-k\right)}^2+h$

Where $\left(h,k\right)$ is the vertex of the parabola

• The equation of a regular parabola is $y^2=4ax$