Challenge Problem In statistics, the standard normal density function is given by f ( x )   =   1 2 π ⋅   exp [ − x 2 2 ] . This function can be transformed to describe any general normal distribution with mean μ , and standard deviation, σ . A general normal density function is given by f ( x )   =   1 2 π ⋅ σ ⋅   exp [ − ( x − μ ) 2 2 σ 2 ] . Describe the transformations needed to get from the graph of the standard normal function to the graph of a general normal function.