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Chapter 6 Reflections and Vertical Stretches

Objectives: Student Learning Outcomes
  • Describe the effect of the transformation of the form \(y = a\cdot f(x)\) given the graph of \(y = f(x)\text{,}\) and sketch a graph.

  • Describe the effects on the graph of a function \(f(x)\) when comparing \(f(x)\) to \(f(-x)\) or \(-f(x)\text{.}\)

  • Use transformations to model situations algebraically (from verbal descriptions, graphs, tables, and data points). Recognize functions as transformations of basic functions.