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.

  1. ExpTransform1 translates the graph a units up; asymptote at x = 0

  2. ExpTransform2 translates the graph a units down; asymptote at x = 0

  3. ExpTransform3 translates the graph a units right; asymptote at x = a.

  4. ExpTransform4translates the graph a units left; asymptote at x = -a.

  5. ExpTransform5 reflects the graph across the x-axis; asymptote at x = 0.

  6. ExpTransform6reflects the graph across the y-axis; asymptote at x = 0.