Combined transformations

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

Information: Combined transformations