Be careful when interpreting a reflection across the x-axis. This will cause a change to the y-coordinate of the point. Similarly, reflecting across the y-axis causes a change to the x-coordinate.

Self-Check 1

1. The point (5, −6) is reflected across the x-axis. What are the coordinates of the image? Answer
2. The point (−3, −1) is reflected across the y-axis. What are the coordinates of the image? Answer

To this point, you have focused on reflecting individual points. Next you will look at reflecting functions.

Try This 3

1. Using technology, plot the function
2. Using the mapping from Try This 2 as a guide, determine a function that represents reflected across the
   1. x-axis
   2. y-axis

3. In general, what function represents y = f(x) reflected across the

   1. x-axis?
   2. y-axis?

Save your responses in your course folder.

Share 2

With a partner or group, compare the equations you determined in Try This 3. What similarities and differences do you see?