Describe the single transformatthat has the same effect as reflecting across the line x = 1 followed by a reflection across the line x = 5

3 answers

across x=1: (x,y) -> (1+(1-x),y) = (2-x,y)
across x=5: (x,y) -> (5+(5-x),y) = (10-x,y)
so, the combination yields (x,y) -> (10-(2-x),y) = (8+x,y)
try it with a few points to convince yourself.
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