Answer:
Center of dilation = (3, 0)
Scale factor = 3
Explanations:
To know the center of dilation and the scale factor, let us first find the vertices of the small and large figures
The coordinates of the vertices of the small image and the coordinates of the corresponding vertices of the big image are highlighted below:
Small image Large Image
(2, 0) (0, 0)
(5, 1) (9, 3)
(4, -2) (6, -6)
By proper observation of the figurs on the graph, all the vertices meet at the point (3, 0). Therefore, the center of dilation is (3, 0)
The scale factor is the ration of the corresponding sides of the vertices
The scale factor = 3