Quadratic equations and their graphing are essential topics in algebra. This guide covers standard form to vertex form conversion, graphing quadratic functions, and understanding transformations of quadratic functions. It provides step-by-step instructions, examples, and practice problems to help students master these concepts.

Key points:

- Converting standard form (ax² + bx + c) to vertex form (a(x-h)² + k)
- Graphing quadratic equations using tables and identifying key features
- Understanding transformations of quadratic functions from the parent function
- Writing equations based on described transformations