Algebra 68 - Converting Between General and Vertex Form

This video tutorial explores quadratic functions, focusing on their general and vertex forms. It explains how these functions are always parabolas and details the components of each form. The tutorial covers the conversion between forms, deriving formulas for this process, and calculating key values like H and K. It also discusses graphing quadratic functions and finding their intersections with the X-axis. The video concludes with a preview of the next lecture on quadratic equations.

What are the general and vertex forms of quadratic functions?

How does the constant 'a' affect the graph of a quadratic function?

What is the significance of the constants H and K in vertex form?

Describe the process of converting from vertex form to general form.

What formulas can be derived to convert from general form to vertex form?

How can the vertex's coordinates be calculated from the quadratic function?

What is the difference between quadratic functions and quadratic equations?