The images of the vertices of PQR are P' (8, -6), Q' (8, 6), and R' (14, -6).
A graph that shows triangle PQR and the image triangle P'Q'R is shown in the picture below.
In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size (dimensions) of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image (triangle PQR) by applying a scale factor of 2 that is centered at the origin (0, 0) in order to produce the coordinates of its image as follows:
Vertices P (4, -3) → (4 × 2, -3 × 2) = P' (8, -6).
Vertices Q (4, 3) → (4 × 2, 3 × 2) = Q' (8, 6).
Vertices R (7, -3) → (7 × 2, -3 × 2) = R' (14, -6).
In concluson, we can logically deduce that the dilation is an enlargement because the size of the pre-image is smaller than the image.