Transformations of Functions 1.3 An applet illustrating how transformations affect the graph of a function. Transformations are represented both algebraically and graphically. Construction of the ...

Here we are adding \(a\) to the whole function. The addition of the value \(a\) represents a vertical translation in the graph. If \(a\) is positive, the graph translates upwards. If \(a\) is ...

Instead of writing Function = multiply by 3 we can use algebra. Graphically, \(f(x) = x^2\) is the same as the graph of \(y = x^2\). Writing graphs as functions in the form of \(f(x)\) is useful ...

Function definition and graph of linear/nonlinear functions such as quadratic, cubic, absolute value, piecewise-defined, rational, and power function. Additional topics with functions included such as ...