How is the graph y=log (2x) + 3 related to the graph of y=log (x) ?

It is stretched horizontally by a factor of 2 and translated up 3.

It is compressed horizontally by a factor of 2 and translated up 3.

It is stretched vertically by a factor of 2 and translated up 3.

It is compressed vertically by a factor of 2 and translated up 3.

Question

Mathematics

Beau

11 May, 18:26

How is the graph y=log (2x) + 3 related to the graph of y=log (x) ?

It is stretched horizontally by a factor of 2 and translated up 3.

It is compressed horizontally by a factor of 2 and translated up 3.

It is stretched vertically by a factor of 2 and translated up 3.

It is compressed vertically by a factor of 2 and translated up 3.

+2

Answers (1)

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Foxy Lady · Answer 1

In y=log (2x) + 3, because of 2 with x, that is because of 2 inside the function, there is a horizontal compressed by 2 units. And because of + 3 with the function, the graph shifts to 3 units up.

So out of the given options, the correct option for the given transformation is the second option.