Quadratic Equations and Vertex Form - Advanced

This math unit focuses on the method of completing the square to convert quadratic equations from standard form to vertex form, across various coefficients. Students start by learning to partially complete the square for quadratic expressions with both positive and negative coefficients, which is crucial for setting the foundation in understanding the transformation processes. The unit progresses to fully completing the square, first with coefficients of 1 and -1, making it simpler for students to grasp the method. Next, they handle more complex coefficients (denoted by N and -N), where they manipulate and adjust the quadratic terms. The skills build towards converting quadratic equations directly from standard to vertex form, refining their ability to locate the vertex of the parabola. This ability is essential for graph analysis and understanding the properties of quadratic functions, such as identifying maxima or minima and graph symmetry. Throughout the unit, multiple-choice problems help solidify these transformation skills and improve the recognition of correct vertex forms from given options.Skills you will learn include:

• Quadratic equations
• Vertex form
• Converting to Vertex Form
• Graph features from Standard Form