The point which maps to the point (x,y) in the polygon after transformation will be (x-4,-y).
When the point (x,y) is reflected over x-axis then the coordinate of the new point changes to (x,-y) as during reflection over x-axis x coordinate never changes only the y coordinate reflects back.
When the point (x,y) is translated a unit left then the coordinate of the new point changes to (x-a,y) as the translation happens only in x-axis, the y coordinate remains as it is.
When the point (x,y) is translated a unit right then the coordinate of the new point changes to (x+a,y) as the translation happens only in x-axis, the y coordinate remains as it is.
Here the coordinate of the point is (x,y) which is at the top of the polygon.
At first, the polygon is reflected over X-axis, the point also goes under reflection over the X axis.
then the coordinate of the point will be (x,-y)
Then the polygon is translated 4 units to left then the point also goes under translation to 4 units left.
then the new coordination of the polygon will be (x-4,-y).
Therefore the point which maps to the point (x,y) in the polygon after transformation will be (x-4,-y).
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