Characteristics of Quadratic Equations - Forms, Components and Graphing

Master quadratic equations through an extensive lecture and 84-problem practice set focused on graphing functions without tables in vertex, standard, or intercept/factored forms. Review and reinforce key components including vertex identification, axis of symmetry, x- and y-intercepts, minimum/maximum values, domain and range, and increasing/decreasing intervals. Explore the benefits of different quadratic forms: vertex form [y = a(x - h)^2 + k] for direct vertex and stretch factor identification, standard form [y = ax^2 + bx + c] for y-intercept and axis of symmetry calculations, and intercept/factored form [y = a(x - p)(x - q)] for x-intercepts and symmetry axis determination. Access downloadable resources including textbook materials and specialized graph paper while progressing through carefully timestamped sections covering theory and practical problem-solving across nearly four hours of comprehensive instruction.