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Overview
Characteristics of quadratic functions
What You'll Learn
Identify the vertex as the highest or lowest point on a parabola
Recognize that quadratic functions always have a domain of all real numbers
Determine the axis of symmetry as a vertical line through the vertex
Locate x-intercepts and y-intercepts on the parabola
Distinguish between maximum and minimum values based on parabola direction
Calculate the range based on the vertex and direction of opening
What You'll Practice
1
Finding vertex coordinates from parabola graphs
2
Determining whether parabolas open upward or downward
3
Calculating x-intercepts and y-intercepts algebraically
4
Writing equations for axis of symmetry
5
Identifying domain and range from graphs
Why This Matters
Understanding the characteristics of quadratic functions gives you the foundation to analyze parabolas in physics, engineering, and economics. Whether you're modeling projectile motion, profit curves, or optimization problems, recognizing how vertex, domain, and range work together is essential for success in advanced math and STEM careers.
Before You Start — Make Sure You Can:
This Unit Includes
10 Video lessons
Skills
Parabola
Vertex
Domain and Range
Axis of Symmetry
Intercepts
End Behavior
Quadratic Functions

MB Curriculum Aligned