Question

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

Answer 1

The answer is B or It is compressed horizontally by a factor of 2 and translated up 3 units. If that is incorrect I'm very sorry I am in the midst of taking the exam

Explanation:

Answer 2

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

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.