###### ObjectivesStudent 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.