Graphing Quadratics Using Vertex Form

Miacademy & MiaPrep Learning Channel

This instructional math video guides students through the process of graphing quadratic functions written in vertex form. The narrator, Justin, breaks down the structure of the vertex form equation, explaining how the variables 'h' and 'k' directly identify the parabola's vertex. The video builds upon previous knowledge of parent functions and translations to explain why the vertex moves, rather than just memorizing a rule. The core themes explored include identifying coordinates from algebraic structures, the concept of symmetry in parabolas, and computational fluency with inputs and outputs. The lesson emphasizes efficiency by teaching students to calculate points on only one side of the axis of symmetry and then mirror them to complete the graph. It covers various scenarios, including negative leading coefficients and fractional compressions. For educators, this video serves as an excellent direct instruction tool or review resource for Algebra 1 and Algebra 2 curriculums. It scaffolds learning by starting with simple identification, moving to guided examples, and concluding with an independent practice opportunity. The visual aids clearly demonstrate the connection between the algebraic equation and the geometric transformation on the coordinate plane.