Quadratic Equations and Vertex Form - Practice

This math unit focuses on developing a comprehensive understanding of quadratic functions through a progression of skills. Initially, students learn to determine and analyze the range of quadratic functions from their graphs and equations based on vertex form. These skills involve understanding the effects of vertex position and the direction a parabole opens (upward or downward). As students advance, they shift focus towards manipulating and translating quadratic equations and their graphs. They learn to convert graphs to vertex form equations, match equations to their respective graphs, and understand how the algebraic structure of these equations affects their graphical characteristics and range. Further into the unit, students apply techniques to complete the square, essential for converting quadratic equations into vertex form. This begins with partial completion when the leading coefficient is -1 or a negative number and progresses to fully completing the square to understand vertex position and to discern the properties like maximum and minimum values of the quadratic functions. This sequence deepens students' ability to manipulate and understand quadratic transformations, heading towards mastery in handling quadratic equations in various forms and contexts.Skills you will learn include:

• Quadratic equations
• Vertex form
• Completing the Square
• Converting to Vertex Form