Parabola Equations

To help with exercises in Analytical Geometry and Conics.
With different types of data you can obtain the equations of parabolas.
The types of data that you can enter are:
-The vertex and the focus.
-The vertex and directrix.
-The focus and directrix.
-The general equation.
-Three points that belong to the parabola.

The answers you can get depending on the type of data entered are:
-The canonical equation.
-The general equation.
-The vertex, the focus, the equation of the directrix.
-The focal length and the Latus rectum.