The video tutorial focuses on understanding the concept of a vertex in a graph, represented as H&K, and how to identify it. It explains the process of shifting graphs by changing the vertex while maintaining the graph's shape. The tutorial emphasizes the importance of understanding the relationship between the vertex and graph shifts, using practical examples to illustrate these concepts. The teacher uses a step-by-step approach to demonstrate how to move the vertex and apply these shifts in graphing exercises.

Explain the relationship between the vertex and the form H&K.

What is the main important thing to remember when identifying the vertex?

How does the value of 'a' affect the graph when it is equal to 1?

Describe the process of translating a graph to a new vertex.

What should you remember about the graphs when the vertex is shifted?