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Question 1176151: Given the graph y = f(x), in which order do we apply the transformations when graphing
y=af(b(x−h))+k
. Why is this the correct order?
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The order of the transformations is the order in which you would evaluate the expression for a given value of x.
(1) simplify within the innermost parentheses, "(x-h)" --> translate h units right
(2) perform the operation (multiplication) inside the other set of parentheses, "b(x-h)" --> stretch horizontally by a factor of 1/b
(3) perform the multiplication, "a*f(b(x-h))" --> Stretch vertically by a factor of a
(4) perform the addition, "a*f(b(x-h))+k" --> translate k units up
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