Transformations of Graphs of Logarithmic Functions
Graphing Transformations of Logarithmic Functions
In this section on transformations of graphs, we will transform the graph of logarithmic functions using vertical and horizontal shifts, reflections, compressions, and stretches. Finally, given the graph of a logarithmic function, you will practice defining the equation.
As we mentioned in the beginning of the section, transformations of logarithmic graphs behave similarly to those of other parent functions. We can shift, stretch, compress, and reflect the parent function 
without loss of shape.
Source: Rice University, https://openstax.org/books/college-algebra/pages/6-4-graphs-of-logarithmic-functions
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