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.

The second choice.

Step-by-step explanation:

The  log(x)  > log(2x) compresses the graph horizontally by a factor of 2  .

The + 3 translates up 3.

The second choice is the correct one.

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

Step-by-step explanation:

Given : The graph and  

To find : How does the graph of related to the graph of

Solution :  

The parent function be

Horizontally Compressed:    

If y =f(x) , then y =f(bx) gives a horizontal compression if b>1.  

Multiplying the parent function by 2 means you are compressing it horizontally,    

i,e

Translated up :  

i.e, f(x)→f(x)+b  

Adding 3 means you are moving it up by 3 units  

Therefore, Option 2 is correct.

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

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step-by-step explanation:

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