About Function Transformations
Starting with the graph of a function \(f(x)\), the graph of
\[ A f(Bx - C) + D \]
is obtained by stretching the graph of \(f\) vertically by a factor of \(A\) and horizontally by a factor of \(B\), while translating it vertically by a factor of \(D\) and horizontally by a factor of \(C\).
Using the Applet
This applet allows you to adjust the parameters of the function \( A f(Bx - C) + D \), where \(f(x)\) is a quadratic, cubic, linear, or floor function. Choose a function type to transform from the drop down menu. Then, use the sliders to adjust the values of \(A\), \(B\), \(C\), and \(D\) to see how the graph changes. The transformed graph will be displayed in black. The blue dots show the original function.
About this Applet