9 – Quadratics 2

The next thing I’ll do is I’ll divide it by σ². Without telling you why I’m doing this, I want to see what the effect is. Suppose σ² = 4. That means we have a variance of 4 and a standard deviation of 2. I’ve given you already the quadratic function when it isn’t divided by σ². It’s the same as saying σ² = 1. What I’d like to know is whether our new version where σ² = 4 makes this quadratic wider or whether it makes it narrower, assuming that this is our new function f(x). So, pick one of the two, or perhaps it stays the same. Then pick the third.

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