👉 Learn how to graph the square root function. Like other functions, to graph the square root function, we first graph the parent function (i.e., the graph of f(x) = square root of x) and then we ...

👉 Learn how to graph exponential functions in base e. An exponential function is a function whose value increases rapidly. e ...

This applet will help you in visualizing the effects of transformations on functions. Move the sliders on the right to change the translation and scaling factors ...

A translation is a shift of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). The value of \(a\) ...

\(y = x^2 + a\) represents a translation parallel to the \(y\)-axis of the graph of \(y = x^2\). If \(a\) is positive, the graph translates upwards. If \(a\) is negative, the graph translates ...

Conjugate Functions for Engineers: a Simple Exposition of the Schwarz-Christoffel Transformation applied to the Solution of Problems involving Two-Dimensional Fields of Force and Flux.