Exponential and Logarithmic Functions: Graphing Exponential Functions and Domain and Range

Transformations of Exponential Functions

The general equation for exponential functions is f(x) = atimesbc(x-h) + k. The values of "a", "c", "h", and "k" are the same as when we worked with quadratic, square root, and cube root functions.

The "a" value stretches the function vertically by a factor of |a|.

The "c" value stretches the function horizontally by a factor of absolute value of the quotient 1 divided by c.

The "h" value moves the graph horizontally.

The "k" value moves the graph vertically.

If a < 0 then the graph is reflected across the x-axis.

If b < 1 then the graph is reflected across the y-axis.


It is important to work with functions one step at a time. Go on to work through an example of how to graph exponential functions.