The right answer is: g(x) is translated 2 units up from f(x)
Step-by-step explanation:
Given functions are:
[tex]f(x) = 4x\\g(x) = 4x+2[/tex]
In order to shift the functions upward or downward, an integer is added or subtracted from the original function's output.
We can see by comparing both functions that 2 can be added to f(x) to make function g.
As 2 is added to the function, not the input, it is a vertical shifting.
As the integer is positive, the shift is upward.
So,
The right answer is: g(x) is translated 2 units up from f(x)
Keywords: Functions, shifting
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