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- Inequalities in Two Variables
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
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14.
Inequalities in Two Variables
14.1
Graphing linear inequalities in two variables
14.2
Graphing systems of linear inequalities
14.3
Graphing quadratic inequalities in two variables
14.4
Graphing systems of quadratic inequalities
14.5
Applications of inequalities
14.6
What is linear programming?
14.7
Linear programming word problems