How it works ?
Step 1: Use the sliders to choose values for a and b.
Step 2: For each of the graphs y = af(x) + b, y = f(ax) + b, y = af(x + b) and y = f(ax + b), try to predict the shape of the graph and the coordinates of the local maximum and minimum points, before clicking the check boxes to see each graph.
Step 3: Click the reset button to go back to the original settings.