Answer:
2
Step-by-step explanation:
Given a graph of an original object and its image after dilation, you want to know the scale factor of the dilation.
The scale factor multiplies each of the coordinates.
The original coordinates of point A are (0, 1).
The coordinates of dilated point A' are (0, 2).
The factor that multiplies 1 to make it be 2 is 2/1 = 2.
The dilation scale factor is 2.
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Additional comment
As a check, you can consider another point:
C(4, 3) × 2 = C'(8, 6) . . . . matches the point on the graph