What are the key characteristics of a quadratic equation

The video tutorial introduces quadratic equations with a focus on graphing, specifically using the vertex form. It explains the components of the vertex form, such as horizontal and vertical shifts, and how to identify the vertex. The tutorial also covers the concept of the axis of symmetry and provides an introduction to graphing parabolas, highlighting the differences from absolute value functions.

What is the axis of symmetry for a quadratic function in vertex form?

Describe the shape of the graph of a quadratic function and its characteristics.