Chapter 2.5, Problem 92AYU

Challenge Problem In statistics, the standard normal density function is given by $f\left(x\right)=\frac{1}{\sqrt{2\pi }}\cdot \exp \left[-\frac{x^2}{2}\right]$. This function can be transformed to describe any general normal distribution with mean $\mu ,$ and standard deviation, $\sigma$. A general normal density function is given by $f\left(x\right)=\frac{1}{\sqrt{2\pi }\cdot \sigma }\cdot \exp \left[-\frac{{(x-\mu )}^2}{2{\sigma }^2}\right]$. Describe the transformations needed to get from the graph of the standard normal function to the graph of a general normal function.