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Graphing Quadratic Functions - Standard Form
Learn how to graph quadratic functions in standard form. Discover step-by-step methods to find the vertex, y-intercept, and plot additional points using symmetry. Perfect for mastering parabolas and enhancing graphing skills!
Graphing Quadratics (Vertex Form)
Explore how to graph quadratics in vertex form. This article provides a detailed guide to understanding and graphing quadratic functions. It begins by introducing the basic structure of quadratic functions and the importance of the parent function f(x) = x^2, highlighting the key characteristics like the U-shaped parabola, symmetry, and the vertex. The post then focuses on how to graph quadratics using vertex form f(x) = a(x-h)^2 + k, explaining how the parameters a, h, and k affect the graph. It discusses vertical stretches, compressions, reflections, and both horizontal and vertical shifts. The post concludes with step-by-step instructions on how to graph a quadratic function and provides practice problems for reinforcing the concepts.