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Sven is going to use his calculator to graph y = log (x - 4) + 5. Before he does so, he predicts what will happen to the parent function. Which statement correctly identifies the transformations?
A) The parent function will be moved to the left 4 units and up 5 units.
B) The parent function will be moved to the right 4 units and up 5 units.
C) The parent function will be moved to the right 4 units and down 5 units.
D) The parent function will be moved to the left 4 units and down 5 units.

Answer :

The statement correctly identifies the transformations is "the parent function will be moved to the right 4 units and up 5 units." option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y = log (x - 4) + 5

The above function represents the transformed function:

The parent function is:

y = logx

First transformation:

Plug x → (x - 4)

y = log(x - 4)

The parent function will be moved to the right 4 units

Second transformation:

Add 5 to the function:

y = log(x - 4) + 5

The parent function will be moved up 5 units.

Thus, the statement correctly identifies the transformations is "the parent function will be moved to the right 4 units and up 5 units." option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

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