This applet allows you to explore transformations on a piecewise function using sliders.
f(x) is the original function. By moving the sliders inside the green box, you will get a new graph that is the result of transformations on the graph of f(x). Please play around with the sliders to see how they affect the graph. The shadow of the original function will remain fixed. The equation of the new graph is shown at the top of the green box. To get back to the original graph of f(x) set h = k = 0 and a = b = 1.

1. Click on the box to display F(x). A red graph should appear. Use the sliders to get your graph to match the red graph.
What is the equation of this new graph?
What two transformations were used to get this new graph?
2. Uncheck the F(x) box and click on the G(x) box. You should now see a blue graph. Try to use the sliders to get your graph to match the blue graph.
What is the equation of this new graph?
What two transformations were used to get this new graph?
3. Uncheck the F(x) box and click on the H(x) box. You should now see an orange graph. Try to use the sliders to get your graph to match the orange graph.
What is the equation of this new graph?
What two transformations were used to get this new graph?