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
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Answer:
B. f(x) = log2(x − 2) + 2
Explanation:
I got it correct in my test
The equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.
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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