Manitoba
11. Model and solve problems that involve systems of linear inequalities in two variables
11.3 Graphing systems of quadratic inequalities
Chapter 11.3
Graphing systems of quadratic inequalities
What You'll Learn
Graph quadratic inequalities with correct parabola shapes using vertex and intercepts
Distinguish between solid and dashed parabola lines based on inequality symbols
Identify solution regions by determining whether to shade above or below each parabola
Find the overlapping region that satisfies all inequalities in a system
Verify solutions by testing coordinate points in both inequalities
What You'll Practice
1
Graphing two quadratic inequalities on the same coordinate plane
2
Shading regions above and below parabolas based on inequality signs
3
Identifying overlapping solution regions for systems
4
Checking answers by substituting test points into both inequalities
Why This Matters
Graphing systems of quadratic inequalities builds your ability to solve complex real-world optimization problems involving multiple constraints, such as business profit regions, engineering design limits, and physics applications where multiple conditions must be satisfied simultaneously.
This Unit Includes
1 Video lesson
Practice exercises
Skills
Quadratic Inequalities
Systems of Inequalities
Graphing Parabolas
Solution Regions
Vertex Form
Intercepts
Shading Regions
MB Curriculum Aligned
