Graphing quadratic inequalities in two variables

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Examples

Lessons

Graphing Quadratic Inequalities of Parabolas Opening Up
Graph:
i) $y = \frac{1}{3}{x^2} - \frac{2}{3}x - \frac{8}{3}$ $y = \frac{1}{3} x^{2} - \frac{2}{3} x - \frac{8}{3}$
ii) $y \ge \frac{1}{3}{x^2} - \frac{2}{3}x - \frac{8}{3}$ $y \geq \frac{1}{3} x^{2} - \frac{2}{3} x - \frac{8}{3}$
iii) $y$ $y$ < $\frac{1}{3}{x^2} - \frac{2}{3}x - \frac{8}{3}$ $\frac{1}{3} x^{2} - \frac{2}{3} x - \frac{8}{3}$
Graphing Quadratic Inequalities of Parabolas Opening Down
Graph:
i) $y = - {x^2} - 4x$ $y = - x^{2} - 4 x$
ii) $y$ $y$ > $- {x^2} - 4x$ $- x^{2} - 4 x$
iii) $y \le - {x^2} - 4x$ $y \leq - x^{2} - 4 x$

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