If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the original graph. Looking at some ...

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 ...

In the applet below is intended to help you understand the connection between the graph of a function and the function itself. Recall that a function can be thought of as a machine which takes an ...