SOLUTION: Given the graph of f,descibe how the graph of y=4/3f(x-3)+4/3 can be obtained from the graph of f by steps of transformation.
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Question 1158598: Given the graph of f,descibe how the graph of y=4/3f(x-3)+4/3 can be obtained from the graph of f by steps of transformation. Answer by greenestamps(13200) (Show Source):
The "4/3" before the "f" is a vertical stretch by a factor of 4/3.
The "(x-3)" is a translation 3 units to the right.
The "+4/3" is a vertical translation 4/3 units up.
To determine the order of the transformations, consider the order in which those operations would be performed if you were evaluating the expression for a given value of x: parentheses first; multiplication next; addition last.
So the transformations, in order, are
(1) horizontal shift right 3
(2) vertical stretch by 4/3
(3) vertical shift up 4/3
