Transformations
Transformation of Functions
Reflection Across x-axis
When multiplying by a negative on the outside of a function:
, the graph reflects across the x-axis.
Here is a graph of our parent function
and
.
![ReflectionX1-1 ReflectionX1-1](https://claregladwinresd.glk12.org/pluginfile.php/894/mod_book/chapter/57/Families_Of_Functions/Images/ReflectionX1-1.png)
Here is a graph of our parent function
![ReflectionX1-2 ReflectionX1-2](https://claregladwinresd.glk12.org/pluginfile.php/894/mod_book/chapter/57/Families_Of_Functions/Images/ReflectionX1-2.png)
![ReflectionX1-3 ReflectionX1-3](https://claregladwinresd.glk12.org/pluginfile.php/894/mod_book/chapter/57/Families_Of_Functions/Images/ReflectionX1-3.png)
The translation of the parent graph is a reflection over the x-axis.