Combined transformations
Use the sliders to choose values for a and b.
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.
Click the reset button to go back to the original settings.
Describe the transformations in each case. What happens to each graph if a is negative?