What are the two equations for a parabola in conic sections

The video tutorial explains graphing parabolas using quadratic equations in standard and vertex forms. It covers the importance of the axis of symmetry and vertex in graphing, and introduces equations for parabolas with vertical and horizontal axes of symmetry. The tutorial also discusses the role of the focus and directrix in defining parabolas, and how to adjust equations based on the orientation of the axis of symmetry.

What changes occur in the equations when the axis of symmetry is horizontal?

Describe the relationship between the values of P and the direction in which the parabola opens.