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Hunter-Best [27]
3 years ago
6

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

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

  • 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.

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