I am pulling my hair out trying to figure out glide reflections.

Question

P-->P'(-2,-6) for the glide reflection where the translation is (x,y)-->(x,y-1) and the line of reflection is x=1??
A)(4,-5)
B)(-2,-7)
C)(-2,-5)
D)(4,-6)

Help please, I am a mom pulling her hair out. Thanks in advance

Answer 1

reflection about x=1

that means, (x,y)>(-(x-1)+1, y-1)

or (x,y)>(-2,6) or -x+2=-2 or x=4 and
y-1=-6 or y=-5

so P is (4,-5)

Answer 2

Thanks bob