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B) dilation by scale factor of two followed by reflection across the x-axis

Step-by-step explanation:

Let's compare the points of the pre-image, ABC, to the image, A'B'C', we see that both x- and y-coordinates seem to be doubled from the pre-image to the image.

The coordinate of A, is (-2, -1)

B = (0, 0)

C = (1, -3)

Let's see the coordinates of the image A'B'C'.

A' = (-4, 2)

B' = (0, 0)

C' = (2, 6)

Here both the x- and y-coordinates, dilated by scale factor 2. The sign of the y - coordinate changes in the image.

Therefore, the answer is B) dilation by scale factor of two followed by reflection across the x-axis.

Thank you.