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Chapter 11.8
Graphing quadratic functions: General form VS. Vertex form
What You'll Learn
Identify y-intercepts by setting x equal to zero in the quadratic function
Find x-intercepts by setting y equal to zero and solving the resulting equation
Determine the vertex location using the midpoint of x-intercepts or vertex form
Recognize parabola orientation based on the sign of the leading coefficient
Sketch accurate parabola graphs using intercepts and vertex as key points
What You'll Practice
1
Finding y-intercepts from quadratic functions in general form
2
Solving for x-intercepts by factoring or using square roots
3
Calculating vertex coordinates from both general and vertex forms
4
Sketching complete parabola graphs using all critical points
Why This Matters
Graphing parabolas is essential for visualizing quadratic relationships you'll encounter throughout algebra, calculus, and physics. This skill helps you analyze projectile motion, optimize business profits, and understand how changing variables affect outcomes in real-world scenarios.
This Unit Includes
2 Video lessons
Skills
Parabolas
Quadratic Functions
Intercepts
Vertex
Graphing
Factoring
Vertex Form
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