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Chapter 31.2
Graphing reciprocals of quadratic functions
What You'll Learn
Identify horizontal asymptotes at y = 0 for all reciprocal quadratic functions
Determine vertical asymptotes by locating x-intercepts of the original quadratic
Find invariant points where the original function has y-values of 1 or -1
Calculate reciprocal y-values for key points including vertices and intercepts
Apply the 5-step approach to systematically graph reciprocal transformations
What You'll Practice
1
Plotting asymptotes and invariant points from quadratic functions
2
Finding reciprocal values of vertices, intercepts, and selected points
3
Graphing reciprocals of upward and downward-opening parabolas
4
Connecting points while tracing along horizontal and vertical asymptotes
Why This Matters
Graphing reciprocals of quadratic functions develops your understanding of function transformations and asymptotic behavior, skills essential for advanced algebra, calculus, and real-world modeling of inverse relationships like speed vs. time or electrical resistance.
This Unit Includes
4 Video lessons
Practice exercises
Skills
Reciprocal Functions
Quadratic Functions
Asymptotes
Invariant Points
Function Transformations
Graphing
Vertices
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