Graphing quadratic inequalities in two variables

Graphing quadratic inequalities in two variables

Grab a pen and grid paper for this lesson. We will learn the tricks on graphing quadratic inequalities in two variables.

Lessons

  • 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}

  • 2.
    Graphing Quadratic Inequalities of Parabolas Opening Down
    Graph:
    i) y=x24xy = - {x^2} - 4x
    ii) yy > x24x - {x^2} - 4x
    iii) yx24xy \le - {x^2} - 4x