Graph a parabola with a vertical axis of symmetry and identify the focus & directrix

The video tutorial explains how to graph a parabola and identify its key components: the vertex, focus, and directrix. It begins by discussing the orientation of the parabola based on the squared variable, then moves on to identifying the vertex using the general form. The tutorial continues with calculating the focus and directrix by determining the value of P, and concludes by finalizing the graph with these details.

How do you determine the direction in which a parabola opens?

What is the general form of a parabola when identifying its vertex?

What is the significance of the value 'P' in the context of a parabola?

Explain how to find the focus of a parabola given its vertex.

What is the equation of the directrix for a parabola, and how is it related to the vertex?