Which is the correct equation for the graph of f(x), a transformation of the graph of g(x) = log2x? A. f(x) = -log2(x + 2) B. f(x) = log2(x − 2) + 2 C. f(x) = -log2x + 2 D. f(x) = log2x − 2

Which is the correct equation for the graph of fx a transformation of the graph of gx log2x A fx log2x 2 B fx log2x 2 2 C fx log2x 2 D fx log2x 2 class=

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Answer:

B. f(x) = log2(x − 2) + 2

Explanation:

I got it correct in my test

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The equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 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 parent function:

g(x) = log₂x

Transformation:

g(x) → g(x) + 2

G(x) =log₂x + 2

The function will shift upside by 2 units.

G(x) → G(x-2)

f(x) =log₂(x-2) + 2

The function will shift right side by 2 units.

Thus, the equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.

Learn more about the function here:

brainly.com/question/5245372

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