Reflecting Graphs of Functions

In this lesson, we will explore reflecting the graphs of functions across both the x-axis and y-axis. When we reflect a graph across the x-axis, it transforms the original y-values into their opposites while preserving the x-values. In other words, the x-values stay the same and the y-values are their opposites when comparing the related function to the transformed version. Similarly, when we perform a reflection across the y-axis, it changes the original x-values into their opposites, while preserving the y-values. Again, another way to think about this is that the y-values stay the same and the x-values are their opposites when comparing the related function to the transformed version. Furthermore, we will get into the techniques for stretching/shrinking a function when a reflection is involved.