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Im trying to figure out the answer to this problem.

Im trying to figure out the answer to this problem.-example-1

1 Answer

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Answer:

Shifting the function y = f(x) to the right by 4 units gives the function y = f(x+4). This shift moves the bounded region 4 units to the left, so we can find the area of the region bounded by y = f(x+4) by subtracting the area of the unbounded region to the left.

Since the area of the original bounded region is 8 units², the unbounded region to the left has area 4 units². Therefore, the area of the region bounded by y = f(x+4) is the area of the original bounded region (8 units²) minus the area of the unbounded region to the left (4 units²), which is:

8 - 4 = 4 units²

So, the area of the region bounded by the x-axis and the function y = f(x+4) is 4 units².

User Garry Wong
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