How is the graph of y=log (x) transformed to produce the graph of y=log (2x) + 3

Question

Mathematics

Ellen Briggs

26 October, 09:54

How is the graph of y=log (x) transformed to produce the graph of y=log (2x) + 3

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Answers (1)

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Tamara Garcia · Answer 1

horizontally compressed by a factor of 2 and translated upward by 3 units.

Step-by-step explanation:

A multiplier of x in a function transformation is effectively a compression factor. That is f (2x) will have half the horizontal extent of f (x) for the same values of x.

Addition of a constant the the value of a function effectively translates the graph upward by that amount. The graph of y = log (2x) + 3 has been translated upward 3 units.

The graph of y=log (x) has been horizontally compressed and translated upward to produce the graph of y = log (2x) + 3.