Question

Write a simplified formula (in terms of the independent variable n) for the transformation of m(n) = n^2 - 2n. Options: A) m(n) = n^2 + 2n B) m(n) = n^2 C) m(n) = n^2 - 4n D) m(n) = n^2 - 3n

Answer 1

The first step is to write down the given function m(n) = n^2 - 2n.

Now, we want to simplify this function if possible.

In this case, there's no really simplification we can do. The expression is in its simplest form. So, the simplified function remains as m(n) = n^2 - 2n.

Then, we compare the simplified function with the options given.

Comparing it with option A which is m(n) = n^2 + 2n, we see that this is not the same because of the positive 2n in option A, where as our simplified function has -2n.

Comparing it with option B, m(n) = n^2, this is also not a match, as our simplified function includes -2n, but option B does not.

Looking at option C, m(n) = n^2 - 4n, although the signs are the same, the coefficient of 'n' is different.

Finally, option D, m(n) = n^2 - 3n, is also not a match for the same reason as option C: it has different 'n' coefficient.

Therefore, we can see that none of the given options match our simplified function. So, the final answer is that none of the options matches the simplified function.