The effects of some simple compositions on the graph of a function

How are the graphs of f(x-a), b+f(x), -f(x), f(-x), |f(x)|, f(|x|), 1/f(x) and f(1/x) related to the graph of f(x)? These important ideas from a precalculus course are illustrated using various common functions including sin(x), e^x, and |x|. The graphs of these functions can be translated vertically and horizontally to provide many more examples of g(x). The reset button puts a previously translated graph back to its original positionEnsino Médio::MatemáticaEducação Superior::Ciências Exatas e da Terra::Matemátic