Graphs of the Normal Distribution Curve

One of the most widely used curves in statistics is the normal distribution defined by

\[ f(x) = \dfrac{1}{\sigma \sqrt{2\pi}} \, e^{-\dfrac{(x-\mu)^2}{2\sigma^2}} \]

Change the values of the mean \(\mu\) and standard deviation \(\sigma\) to explore how the graph changes.