Finding the vertex focus and directrix by completing the square

The video tutorial explains the properties of parabolas, focusing on how to determine the vertex, focus, and directrix. It introduces the concept of completing the square to transform equations into a form that reveals these properties. The tutorial provides step-by-step instructions on using the formula y^2 - k = 4p(x - h) to find the vertex, focus, and directrix, emphasizing the importance of understanding these concepts for graphing parabolas.

What new insight or understanding did you gain from this video?