Function Transformations Applet
The intended use for this application is for students to investigate the different transformations of the graph of the function g(x) = x^2. Click on the sliders to change each of the 3 parameters a, b, and c on the graph of f(x) = a (x + b)^2 + c, and observe what happens to the graph.
Can you find an equation that correspond to a reflection on the x- axis of the graph of g(x) = x^2?
What causes the graph of f(x) to be shifted to the left or to the right?
What causes the graph of f(x) to be shifted vertically?
Rocio Franklin, Created with GeoGebra |