Answer: choice B) (4,-3)
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Step-by-step explanation:
The point (0,4) is on the f(x) curve. This means that when x = 0, f(x) = 4. Or f(0) = 4.
If we plugged x = 4 into f(x-4), then it becomes f(x-4) = f(4-4) = f(0).
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g(x) = -f(x-4) + 1
g(4) = -f(4-4) + 1 ... plug in x = 4
g(4) = -f(0) + 1
g(4) = -4 + 1 ... replace f(0) with 4
g(4) = -3
So we can see that the input x = 4 leads to the output g(x) = -3.
The point (4,-3) is on the g(x) curve.