Graph a horizontal parabola and identify the focus, vertex and directrix

The video tutorial explains how to graph a parabola by identifying its vertex, focus, and directrix. It covers determining the parabola's orientation based on its equation and completing the square to rewrite the equation in a useful form. The tutorial also demonstrates how to find the vertex and focus coordinates and graph the parabola, including identifying the directrix and axis of symmetry.

What are the key components to identify when graphing a parabola?

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

What is the significance of the vertex in the graph of a parabola?

Explain the process of completing the square in the context of graphing a parabola.

What does the variable P represent in the equation of a parabola?

How do you find the focus of a parabola given its vertex?

Describe the relationship between the focus and the directrix of a parabola.