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Anastaziya [24]
2 years ago
9

The graph of f(x) = 2x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x - k. What is the value

of k?
A.) -5
B.) -1
C.) 1
D.) 5

Mathematics
2 answers:
DIA [1.3K]2 years ago
7 0
<h2>Answer</h2>

C.) 1

<h2>Explanation </h2>

Remember the rules for shifting functions:

f(x)+b shifts the function b units upward

f(x)-b shifts the function b units downward

f(x+b) shifts the function b units to the left

f(x-b) shifts the function b units to the right

Since we want tho shift f(x)=2^{x+4} 5 units to the right, we are using the rule: f(x-b) shifts the function b units to the right; in other words, we need to subtract 5 units to the input of the function:

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

f(x)=2^{x-1}

But notice that there is already a negative sign in f(x)=2^{x-k}, so to get f(x)=2^{x-1}, k must be equal to positive 1.

Assoli18 [71]2 years ago
7 0

Answer:

it's C

Step-by-step explanation:

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