Respuesta :

If a point (x, y) is reflected across the x-axis, then its image is (x, -y).

If the point (a, y) translated h unit to the left, then its image is (x - h, y)

From the given picture we can see that the coordinates of point C are (1, -2)

Since the figure is reflected across the x-axis, then

Change the sign of the y-coordinate of each point

C' = (1, 2)

Since the figure then translated 3 units to the left, then

Subtract the x-coordinate of each point by 3

C" = (1 - 3, 2) = (-2, 2)

The image of point C after reflection and translation is (-2, 2)

The answer is A

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