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abruzzese [7]
3 years ago
12

The function f(x)=2x and g(x)=f(x+k). if k= -5, what can be concluded about the graph of g(x)

Mathematics
2 answers:
Aleks [24]3 years ago
4 0
It is a translation of fx by 5 to the right
noname [10]3 years ago
4 0

The given functions are

f(x)=2x and g(x)=f(x+k).

If k =-5, that is

g(x) = f(x-5)

Because of -5 inside the function f(x) , the graph of g(x) translated by 5 units to the right side .

And that's the required conclusion with the given information .

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Answer:

The solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

Step-by-step explanation:

Given that

y = 4x + 1  (i)

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Now, by susbstituting the value of 'y' from equation i to equation ii, we get

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0=x^2 + 2x -2-4x-1

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0=x^2 -2x -3

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Now by factorization, equation iii can be written as

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y = 4(3) + 1

y = 12 +1

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and

y = 4(-1) + 1

y = -4 +1

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Therefore, the solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

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