Week 9 – Precalculus 11 – Graphing Parabola

This week, the question I got wrong but learned the most from was about graphing quadratic functions. At first, I didn’t really know how to graph them but the moment came when I learned how to graph a quadratic, all you need is the vertex, the axis of symmetry, the direction the parabola opens. For example, with the function y = x², the vertex is at (0, 0) because nothing is added or subtracted. Since the coefficient of x² is positive, the parabola opens upward. Then you plot simple points on each side, like x = 1 is y = 1, x = −1 is y = 1, x = 2 is y = 4, and x = −2 is y = 4. Connecting these points forms a symmetrical, U-shaped parabola.

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