 Completing the square

Completing the square is a mathematical technique used to transform a quadratic equation (or expression) of the form \( ax^2 + bx + c \) into a perfect square trinomial. This method allows us to solve quadratic equations, analyze their graphs, and derive the vertex form of a quadratic function. ### Steps to Complete the Square: 1. **Start with a quadratic expression** in the standard form: \[ ax^2 + bx + c \] 2.