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To find the image of a point under a dilation with a center at (0,0) and a scale factor of 5, we can simply multiply the coordinates of the point by the scale factor.
So, for point A (-2, -3),
we have A' = (-2 * 5, -3 * 5) = (-10, -15).
Therefore, the image of point A under the given dilation is A' = (-10, -15).