Answer:
Given: scale factor k = 3
The coordinate of the given figure is:
(-2 , -1) , (1, -1) , (1, -3) and (-2, -3)
The rule of dilation with scale factor k centered at the origin:-
now, the coordinates of the image of the figure after dilation is:
= (-6 , -3)
= (3 , -3)
= (3 , -9) and
= (-6 , -9)
You can see the image as shown below in the figure.