Observe the graph:
\Consider the scale on the -and
-axis is
.
Vertices of are
and
.
Find reflection about .
Write the vertex matrix for is
.
To reflect the in the line , multiply the vertex matrix by
.
.
Find rotation at about the origin.
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
.
Coordinates of the vertices of the image are and
.