Equation of a parabola by completing the square

The video tutorial explains how to identify and work with vertical parabolas. It covers converting equations to standard form, completing the square, and finding the focus and directrix. The tutorial also includes graphing the parabola and interpreting the results, emphasizing the importance of understanding the vertex and p-value in determining the parabola's orientation.

What is the relationship between the vertex and the focus of a parabola?

Why is it important to write the formulas when working with parabolas?

What is the formula for the directrix of a parabola?

How does the value of p affect the direction in which a parabola opens?