I'm working on understanding how to find the equation of a parabola using directrix and focus. I understand the formulas that use the pythagorean theorem/distance formula to equate the distance from a point of the parabola $P = (x, y)$ and the directrix to the distance of said point to the focus.
It has following important parts: Axis of symmetry -Axis of symmetry of a parabola is the line about which it is symmetric. It is the line at which vertex and focus is located. Axis of symmetry is either X or Y axis or it is parallel to either X or Y axis. Vertex - Vertex is the point where parabola and its axis of symmetry intersect each other.