What do you need to know to write the equation of a parabola for conic sections

The video tutorial explains how to write the equation of a parabola using information such as the focus, directrix, and vertex. It emphasizes understanding the relationships between these elements to determine the value of P, which is crucial for forming the equation. The tutorial also covers different forms of parabola equations based on their axis of symmetry, whether vertical or horizontal. By dissecting the provided information and applying it to the correct equation form, learners can accurately write parabola equations.

What are the differences between parabolas with vertical and horizontal axes of symmetry?

Describe the equations used for parabolas with vertical and horizontal axes of symmetry.