A line segment has endpoints at #(2 ,0 )# and #(2 ,1 )#. If the line segment is rotated about the origin by #( pi)/2 #, translated vertically by #-8 #, and reflected about the x-axis, what will the line segment's new endpoints be?
No direction of rotation has been given, so I will take this as anti-clockwise.
A rotation about the origin by
A translation by
A reflection in the x axis maps:
We can put all these mappings together: