Finding Equation of Axis Aligned Parabolas from given Focal Length and Vertex
Given Coordinates of Vertex and a Signed Focal Length, it is possible to find Equations of 2 Axis Aligned Parabolass,
one having Directrix Parallel to X-Axis, and other having Directrix Parallel to Y-Axis.
Given Vertex at a point (xv,yv) and a Signed Focal Length f, the Standard Coordinate Equations for Axis Aligned Parabolas are given as
(x−xv)2=4f(y−yv) (For Directrix Parallel to X-Axis)
(y−yv)2=4f(x−xv) (For Directrix Parallel to Y-Axis)