Answer:
B
Explanation:
To answer this question, we can simply go through each of the answer choices and choose the one that matches our inputs and outputs.
Our inputs and outputs are: (3, -6), (-2, 4), and (0, 0).
Choice A: Multiply by 2.
If we input 3 and multiply it by 2, we should get 6. However, we got -6.
Similarly, inputting -2 should yield 2(-2) or -4. However, we got 4.
Therefore, Choice A is not correct.
Choice B: Multiply by -2.
If we input 3 and multiply it by -2, we get -6, which is precisely what we had.
Similarly, inputting -2 yields -2(-2) or 4, again the same.
And inputting 0 yields -2(0) or 0. So, Choice B is correct. However, let’s go through the last two just to confirm.
Choice C: Multiply by -1 then subtract 3.
If we input 3, we will first multiply by -1 which yields -3. Subtracting 3 then yields -3-3 which is indeed -6.
However, inputting 2 gives us 2(-1)=-2-3=-5, not 4. Therefore, Choice C is not correct.
Choice D: Multiply by -1 then add 2.
If we input 3, we will first multiply by -1 which yields -3. Adding 2 then yields -1. This is not the same as the original output. Therefore, Choice D is not correct.
Therefore, our answer is B.