How to Graph Quadratic Functions Using Vertex Form

Miacademy & MiaPrep Learning Channel

This video provides a clear, step-by-step tutorial on graphing quadratic functions using vertex form. Hosted by a teacher named Justin with assistance from an animated robot character named Mia, the lesson breaks down the process of extracting key information from the equation $y=a(x-h)^2+k$. The video demonstrates how to identify the vertex, determine the direction of opening, and strategically select $x$-values to calculate additional coordinate points for an accurate graph. The content focuses on the core themes of precision and efficiency in graphing. A major emphasis is placed on using the axis of symmetry to reduce computational work; once one point is calculated on one side of the parabola, its reflection can be plotted instantly without further math. The video creates a standardized approach by encouraging students to find exactly five points (the vertex plus two pairs of symmetric points) to ensure their sketches are geometrically accurate. For educators, this video serves as an excellent direct instruction tool or review resource for Algebra 1 units on quadratics. It models mathematical thinking by verbalizing the decision-making process for choosing which $x$-values to input (integers close to the vertex) and addresses the common student struggle of drawing a parabola with too few points. The included pause-and-practice segment allows for immediate formative assessment within the classroom flow.