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12. Analyze quadratic functions of the form y = ax² + bx + c to identify characteristics of the corresponding graph
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Overview
Introduction to quadratic functions
What You'll Learn
Identify the vertex, x-intercepts, and y-intercept of quadratic functions
Solve quadratic equations by factoring and using square roots
Convert quadratic functions between general form and vertex form
Recognize how the vertex form reveals the vertex coordinates directly
Sketch parabola graphs using intercepts and vertex as key points
What You'll Practice
1
Finding y-intercepts by substituting x = 0
2
Calculating x-intercepts by setting y = 0 and solving
3
Determining vertex position using x-intercepts or vertex form
4
Sketching parabolas by plotting intercepts and vertex
Why This Matters
Understanding quadratic functions is essential for algebra and beyond. You'll use these skills to model real-world situations like projectile motion, optimize business profits, and solve engineering problems. Mastering vertex and intercept identification builds the foundation for calculus and advanced math courses.
This Unit Includes
2 Video lessons
Skills
Quadratic Functions
Parabolas
Vertex
Intercepts
Factoring
Graphing
Vertex Form
MB Curriculum Aligned