Question 1091729
it looks very much like a reflection about the line x = -2 and a clockwise rotation of 90 degrees about the origin.


you should do this in two steps.


first do the reflection about the line x = -2


do each point separately.


the points are:


P at (-5,5) to (1,5) to (5,-1)
Q at (-2,5) to (-2,5) to (5,2)
R at (-1,1) to (-3,1) to (1,3)
S at (-4,1) to (0,1) to (1,0)


to first translation is the reflection about the line x = -2.


the second translation is a rotation of 90 degrees about the origin.


that would be selection A.


to illustrate, i took the point (-5,5).


the first graph is the reflection of the point (-5,5) about the line x = -2


you can see that the x-coordinate of the point (-5,5) is 3 units to the left of the line x = -2, and the x-coordinate of the point (1,5) is 3 units to the right of the line x = -2.


<img src = "http://theo.x10hosting.com/2017/090301.jpg" alt="%%%" >


the second graph is the rotation of the point (1,5) about the origin.


you can see that the x-coordinate of the point (1,5) becomes the y-coordinate of the point (5,-1) after its sign is reversed.
you can also see that the y-coordinate of the point (1,5) becomes the x-coordinate of the point (5,-1).


<img src = "http://theo.x10hosting.com/2017/090302.jpg" alt="%%%" >