Logarithms
Transformations
The transformations of functions that were presented in the Families of Functions unit also apply to logarithmic functions. The following list shows how the patterns apply to logarithms.
translates the graph a units up; asymptote at x = 0
translates the graph a units down; asymptote at x = 0
translates the graph a units right; asymptote at x = a.
translates the graph a units left; asymptote at x = -a.
reflects the graph across the x-axis; asymptote at x = 0.
reflects the graph across the y-axis; asymptote at x = 0.