Manitoba
15. Solve problems involving linear and quadratic inequalities in two variables
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Topic Progress
Pug Score
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Getting Started
"Let's build your foundation!"
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Overview
Graphing quadratic inequalities in two variables
What You'll Learn
Graph quadratic functions by finding vertex, x-intercepts, and y-intercepts
Apply the vertex formula to determine the turning point of a parabola
Factor quadratic equations to identify x-intercepts accurately
Distinguish between solid and dashed parabolas based on inequality symbols
Determine solution regions by shading above or below the parabola curve
What You'll Practice
1
Graphing parabolas using vertex and intercept coordinates
2
Solving quadratic equations by factoring to find x-intercepts
3
Shading regions for inequalities with greater than or less than symbols
4
Drawing solid curves for 'or equal to' and dashed curves for strict inequalities
Why This Matters
Graphing quadratic inequalities combines algebraic factoring with visual reasoning, a skill you'll use in physics, engineering, and optimization problems. Understanding solution regions helps you model real constraints like maximum height, profit ranges, and safety zones.
This Unit Includes
2 Video lessons
Practice exercises
Skills
Quadratic Functions
Parabolas
Vertex Formula
Factoring
Inequalities
Graphing
Solution Regions
Intercepts
MB Curriculum Aligned