The coordinate of A and A' are (-3, 4) and (3, 4) respectively
Coordinates of an image that are reflections of each other are mirror images of each other.
Given the coordinate points A(-5, -3), if the coordinate is translated by the vector v = <2, 6>, then the resulting coordinate will be (-5+2, -2+6) = A'(-3, 4)
If the result is reflected over the y-axis, hence the resulting coordinate will be (3, 4)
Hence the coordinates of A and A' are (-3, 4) and (3, 4) respectively
Learn more on reflection here: reflection
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