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
.