Observe the graph:
\Consider the scale on the and
-axis is
.
Vertices of rectangle are
and
.
Find rotation at about the origin.
Write the vertex matrix for rectangle is
.
Write the ordered pair as a vertex matrix.
\Then multiply the vertex matrix by the rotation matrix.
\.
Find reflection about -axis.
Then multiply the vertex matrix by the rotation matrix.
\.
Write the vertices of the image.
\ The first row represents the -coordinates and the second row represents the
-coordinates.
The vertices are and
.
The image vertices are and
.