Consider the normal probability distribution function
\[
f(x)=\frac{4}{\sqrt{2 \pi}} e^{-8(x+3)^{2}}
\]
If $\mu$ and $\sigma$ are the mean and standard deviation of $f(x)$ respectively, then the ordered pair $(\mu, \sigma)$ is
- $\left(3, \frac{1}{4}\right)$
- $\left(-3, \frac{1}{4}\right)$
- $(3,4)$
- $(-3,4)$