SOLUTION: What is the translation that describes how the vertex changes from the graph of y=|x+1|-3 to the graph of y=|x-5|-1

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Question 697560: What is the translation that describes how the vertex changes from the graph of y=|x+1|-3 to the graph of y=|x-5|-1
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
y=|x+1|-3 to the graph of y=|x-5|-1
The vertex of 

y=a|x-h|+k is (h,k), 

so the vertex of y=|x+1|-3 is (-1,-3) and

the vertex of y=|x-5|-1 is (5,-1).

The horizontal shift (change in x) is from
-1 to 5 which is a shift of (5)-(-1) = 5+1 = +6

The vertical shift (change in y) is from
-3 to -1 is a shift of (-1)-(-3) = -1+3 = +2

y=|x+1|-3 to the graph of y=|x-5|-1


Edwin