A simple exponential function to graph is .
Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right.
Changing the base changes the shape of the graph.
Replacing x with -x reflects the graph across the y -axis; replacing y with -y reflects it across the x -axis.
Replacing x with x + h translates the graph h units to the left.
Replacing y with y - k (which is the same as adding k to the right side) translates the graph k units up.
The function is the inverse function of . So, it is the reflection of that graph across the diagonal line y = x .
When no base is written, assume that the log is base 10.