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How is the graph of y = log (x) transformed to produce the graph of y = log (2 x) + 3?
It is stretched horizontally by a factor of 2 and translated up 3 units.
It is compressed horizontally by a factor of 2 and translated up 3 units.
It is stretched vertically by a factor of 2 and translated up 3 units.
It is compressed vertically by a factor of 2 and translated up 3 units.


Sagot :

Transformation involves changing the form of a function

The true statement is (a) it is stretched horizontally by a factor of 2 and translated up, 3 units.

The function is given as:

[tex]y = \log(x)[/tex]

Start by stretching the graph of [tex]y = \log(x)[/tex], horizontally by a factor of 2.

So, we have:

[tex]y = \log(2 \times x)[/tex]

[tex]y = \log(2x)[/tex]

Next, shift the function up by 3 units.

So, we have:

[tex]y = \log(2x) + 3[/tex]

Hence, the true statement is (a)

Read more about transformations at:

https://brainly.com/question/12619643

Answer:

its b on edge

Step-by-step explanation: