Given the point A(-3, 5) find the image after the following glide reflection: Translation: (x, y) -> (x - 6, y - 1) Reflection: in x= -1

Question

please help

Answer 1

Translation (x - 6 , y - 1) means to move 1 unit to the left, then 1 unit down.  So the first translation is

 

A'(-9, 4)

 

 

Now we reflect this point in x=-1.  This means reflect in reference to the vertical line at x=-1.  The distance between x=-9 and x=-1 is 8.  

 

A''(-1 + 8, 4) = A''(7, 4)