Converting Parabola Equation from Explicit Coordinate to Parametric

1. The Explicit Coordinate Equations for Axis Aligned Parabolas are given as
   
   \(y=Ax^2 + Bx + C\)   (For Parabolas having Directrix Parallel to \(X\)-Axis)...(1)
   
   \(x=Ay^2 + By + C\)   (For Parabolas having Directrix Parallel to \(Y\)-Axis)...(2)
   
   
2. To Convert the Equation of Parabola from Explicit Coordinate to Parametric Equations the variable having the Quadratic Term is set to a Real Number Parameter \(t\).
   
   So the Parametric Equations For Parabolas having Directrix Parallel to \(X\)-Axis are given as
   
   \(x=t,\hspace{.5cm}y=At^2 + Bt + C\)   ...(3)
   
   Similarly the Parametric Equations For Parabolas having Directrix Parallel to \(Y\)-Axis are given as
   
   \(y=t,\hspace{.5cm}x=At^2 + Bt + C\)   ...(4)