What are the basic characteristics of a parabola for conic sections

The video tutorial explains the characteristics of a parabola, focusing on its definition, vertex, axis of symmetry, focus, and directrix. It highlights the importance of the vertex as the maximum or minimum point and its relation to the axis of symmetry. The tutorial also covers the perpendicular nature of the directrix to the axis of symmetry and the significance of the distance from the vertex to the focus and directrix, denoted as P. The explanation includes how these distances relate to each other and the equations involved.

What are the equations for the directrix when it is vertical and horizontal?

Describe the relationship between the distance from the vertex to the focus and the directrix.