The above diagram is an example of a composition of transformations. First, the pre-image is rotated 270 degrees counterclockwise about the origin. Then, the figure is reflected over the y-axis. When writing a composition of transformations, it is important to keep in mind that the first transformation is written last and the last is written first. For example, the composition of transformations in the diagram would be written as r[sub]y-axis[/sub] [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAALCAYAAACprHcmAAAAgUlEQVQoU6XQsQ2CUBSF4Q+3oLJhAQegdAArWcIxmMEZ7OxpJLF3AXtLCxYwL4Hk5gVIiLd7N3/+c98pbJhiAyuHz2gxjJILnpMwh9+oQtoH5RycrA1OAX7gilvaRfMedxwC/Irv/Ixk+qJHjV1MmmsjnXNEN8UvfXC1yb96XjX/APImDwx4ujCbAAAAAElFTkSuQmCC[/img] R[sub](0,0),270[/sub].