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Graphing quadratic inequalities in two variables
- Lesson: 116:55
- Lesson: 28:44
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.
Basic Concepts: Quadratic function in general form: y=ax2+bx+c, Quadratic function in vertex form: y = a(x−p)2+q, Graphing parabolas for given quadratic functions, Solving quadratic inequalities
Related Concepts: Solving absolute value inequalities
Lessons
- 1.Graphing Quadratic Inequalities of Parabolas Opening Up
Graph:
i) y=31x2−32x−38
ii) y≥31x2−32x−38
iii) y < 31x2−32x−38 - 2.Graphing Quadratic Inequalities of Parabolas Opening Down
Graph:
i) y=−x2−4x
ii) y > −x2−4x
iii) y≤−x2−4x