How to graph a quadratic using vertex formula and a table

The video tutorial covers graphing a quadratic equation by completing the square and finding the axis of symmetry. It explains how to determine the vertex and analyze the graph's direction. The tutorial emphasizes the importance of the axis of symmetry and vertex in graphing parabolas, and provides step-by-step calculations to find these elements. The video also discusses the reflection of the graph and how to determine if the vertex is a maximum or minimum point.

What does it mean for a graph to open up or down, and how can you tell?

How can you use the axis of symmetry to find additional points on the graph?

Describe the relationship between the axis of symmetry and the points on the graph.