Transformations of Logarithmic Functions

The transformation of logarithmic functions is very similar to the transformations of quadratic, square root, and rational functions. A change in the value of "a", "h", or "k" transforms the function in some way.

The "a" value stretches the graph vertically by a factor of . If a < 0 the function is reflected across the x-axis.

The "h" value translates the graph horizontally.

The "k" value translates the graph vertically.

Work through each translation one step at time.

Here is an example of the general function: f(x)= alog(x-h) + k