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The graph of f(x) = 2x + 4 shifts six units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k? 2 4 6 10

Respuesta :

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f(x)=2x+4; if x=0, => f(x)=4
g(x)=2x-k ; if x=0, => g(x)=-k
-k=4-6
-k=-2
k=2
Answer: k=2

Answer:

Option A is correct

The value of  k is, 2

Explanation:

Horizontal Shift:  If c is a positive real number, then the graph of f(x-c) is the graph of y =f(x) shifted to the right c units.

Given the graph f(x) =2x+4 shifts six units to the right ,i.e,

f(x-6) = 2x+4-6 = 2x -2

Now, it is replaced with the graph f(x) = 2x-k

⇒ 2x-k=2x-2

On comparing both sides we get,

the value of k =2

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