Algebra 67 - Deriving the Vertex Form of a Quadratic Function

The video tutorial by Professor Von Schmohawk at Why U explains the two common forms of quadratic functions: general form and vertex form. It discusses how the graph of a quadratic function is always a parabola and how the constants in each form affect the graph's shape and position. The tutorial covers calculating the vertex in general form and understanding the vertex form's h and k constants. It also explains how to shift graphs vertically and horizontally and introduces the concept of converting between general and vertex forms.

What are the two common forms of a quadratic function?

Explain the significance of the constant 'a' in the general and vertex forms of a quadratic function.

How can the vertex of a quadratic function in general form be calculated?

Describe how the graph of a quadratic function can be shifted horizontally.

What happens to the graph of a quadratic function when the value of 'k' is changed?

What is the process of completing the square in relation to quadratic functions?

How can quadratic functions written in general form be converted to vertex form?