A line segment has endpoints at #(1 ,2 )# and #(3 ,4 )#. If the line segment is rotated about the origin by #( 3 pi)/2 #, translated vertically by # 3 #, and reflected about the x-axis, what will the line segment's new endpoints be?
1 Answer
Oct 3, 2016
(-2,-4) and (-4,-6)
Explanation:
First graph the two points. (I am unable to graph a line segment so this is a line through the two points.)
graph{x+1 [-10, 10, -5, 5]}
Then you can either rotate the line segment to the right three times or to the left once. (remember it is about the origin)
graph{-x-1 [-10, 10, -5, 5]}
Then add three to the y-values of the current points.
graph{-x+2 [-14.24, 14.24, -7.12, 7.12]}
Finally flip it over the x-axis.
graph{x-2 [-14.24, 14.24, -7.12, 7.12]}