Graphing quadratic inequalities in two variables

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Now Playing:Graph quadratic inequalities in two variables– Example 1
Examples
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  1. Graphing Quadratic Inequalities of Parabolas Opening Up
    Graph:
    i) y=13x223x83y = \frac{1}{3}{x^2} - \frac{2}{3}x - \frac{8}{3}
    ii) y13x223x83y \ge \frac{1}{3}{x^2} - \frac{2}{3}x - \frac{8}{3}
    iii) yy < 13x223x83\frac{1}{3}{x^2} - \frac{2}{3}x - \frac{8}{3}
    Shortcut: The vertex formula
    Notes
    Grab a pen and grid paper for this lesson. We will learn the tricks on graphing quadratic inequalities in two variables.