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Answer:
f(x) - 3 is translated 3 units down and -2*f(x) is reflected across x-axis.
Step-by-step explanation:
We have, f(x) becomes f(x) - 3.
The y-intercept of f(x) is f(0), this implies y-intercept of f(x) -3 is f(0) - 3. This means that the graph of f(x) is translated 3 units down.
Next, we have f(x) becomes -2*f(x).
The y-intercept of -2*f(x) is -2*f(0) and it means that first the graph of f(x) is stretched horizontally by 2 units and then reflected across x-axis.
As, the function f(x) is multiplied by 2, this implies that resultant function -2*f(x) will be an even function and its graph will be symmetric about y-axis.
Moreover, the function -2*f(x) increases wherever f(x) decreases and vice-versa.
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b is the correct answer
