Rational Functions: Graphing Rational Functions and Domain and Range

Transformations of Rational Functions

The parent function for rational equations is .

Graph of y equal one divided by x.

Just like with quadratic, square root, and cube root functions, changing the "a", "h", and "k" values in the general equation = y equals a times 1 divided by the quantity x minus h, plus k transforms the parent function .

As a reminder...

...the "a" value causes a vertical stretch by a factor of |a|. If a < 0 the function is reflected across the x-axis.
...the "h" value causes the function to translate or move either right or left. If h < 0 the function moves h units to the left. If h > 0 the function moves h units to the right.
...the "k" value causes the function to translate or move either up or down. If k < 0 the function moves k units down. If k > 0 the function moves k unit up.