1) The first thing to dilate a figure, is to know the scale factor and if it's about the origin or not.
We have k=2, as our scale factor. So the image will be twice larger (scaled) than the pre-image.
2) Since it is not about the origin but about the point, We need to count from the center of dilation (that point).
2.1) Let's locate each point of the vertex, and call them by ABCD for that pre-image, and call E the point which is going to be the center of dilation.
Counting the distances from figure ABCD to point E
Pre-image
A (7,6) ------------------ > A' ( 5 units to the left , 5 down)
B (9,6) ---------------> B' (7 to the left, 5 down)
C (6,3) -----------------> C' (4 to the left, and 2 down)
D (10,3) --------------> D' ( 8 to the left, and 2 down)
The new figure will be at
A ' ( 10 units to the left, 10 units down
B' (14 to the left, 4 down)
C' ( 8 to the left, and 4 down)
D' ( 16 to the left, and 4 down)
L
A' =(-3,-4) B' (-5,2) C' (-2, -1) D' (-6,-1)