Create an independent variable x, a reflect rule, and a dependent variable. Turn tracing on, and drag x around.

What do you notice about the relative speed and direction of x and r[j](x)?

Erase the traces and draw a new shape. Include parts where you drag x toward and away from the mirror and in a straight line that’s parallel to the mirror.

Draw a picture of your traces. Show the mirror in your drawing.

Construct a reflect function and use it to make traces to match the image below.

Use this page to make an interesting design. You can use multiple mirrors if you like.

Make a screen capture of your result.

What do you notice about the reflect function? What do you wonder?