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MaRussiya [10]
3 years ago
15

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

Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Answer:

B. f(x) = log2(x − 2) + 2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The given function is

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This is a polynomial function.

The domain is set of all values of x, that makes this function defined.

Since polynomial functions are defined everywhere, the domain is all real numbers.

To find the range we put the function in vertex form:

y =  - 2( {x}^{2}  + 4x) - 5

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y =  - 2( {x}  + 2)^{2} - 5 + 8

y =  - 2( {x}  + 2)^{2}  +  3

The maximum value is 3

The function turns downward, hence the range is:

y \leqslant 3

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Step-by-step explanation:

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Step-by-step explanation

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