I will need to draw the polygon they give you. Please allow me time to do such.
With Q = (-3, 0)
R = (-3,6)
T = (4, 6)
U = (4, 0)
So now we do a dilation with a scale factor of 1.3 with centroid in one of the vertices to facilitate the drawing. For example, we use the vertex (-3, 0) as center of dilation. Given such, now the vertex R in (-3,6) becomes (-3, 6/3) = (-3, 2) I will be marking the new vertices in red on the image above.
The next vertex we dilate with the factor 1/3 is vertex U (4, 0) which now becomes a point on the x-axis, but at a distance 7/3 from the center of dilation (vertex Q) so the new vertex U'is now at (-3+7/3, 0) = (-2/3, 0). I am trying to plot this new vertex now.
The last vertex to use in the dilation is vertex T which goes from (4, 6) to -2/3, 2) and which I will be plotting now.
So as we see, the dilation is in fact a shrinking of the original polygon because the measure of its sides has been decreased by a factor of 1/3 .