Graphing the parabola by completing the square and find the focus and directrix

The video tutorial covers solving quadratic equations by completing the square, creating perfect square trinomials, and identifying the vertex and focus of a parabola. It also explains how to graph the parabola and understand its properties, such as the directrix and the direction it opens.

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

Describe how to find the directrix of a parabola based on its vertex and focus.

What does it mean for a parabola to open towards the focus?