Graphs of Modulus Functions
Students will apply reflections across the x-axis to quadratic graphs and sketch the resulting graphs.
About This Topic
Students will apply reflections across the x-axis to quadratic graphs and sketch the resulting graphs.
Key Questions
- Explain how the piecewise definition of the modulus function determines which portions of y = f(x) are reflected to produce y = |f(x)|, and identify any new features introduced.
- Compare the graphs of y = |f(x)| and y = f(|x|) for a given function, analysing the distinct symmetry properties each transformation imposes.
- Evaluate how the modulus transformation affects the domain, range, and asymptotes of a rational or exponential function, and justify your conclusions using specific examples.
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