# 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?

##### 1 Answer

Jun 11, 2018

#### Explanation:

No direction of rotation has been given, so I will take this as anti-clockwise.

Let

A rotation about the origin by

A translation by

A reflection in the x axis maps:

We can put all these mappings together:

PLOT: