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?

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF