Use the sliders to change the "a", "b", "h", and "k". Watch the equation change as the graph changes. Show and hide each graph. Grab points A, B and C to move them along the graph. Then answer the questions at the bottom of this screen.

Answer these questions using terms such as domain, amplitude, period, x-intercepts and frequency.
1. How does the Sine and Cosine graphs change as "a" increases? As "a" decreases?
2. How does the Sine and Cosine graphs change as "b" increases? As "b" decreases?
3. What happens to the Sine and Cosine graphs when "a" goes from positive to negative?
4. How does the Tangent graph change as "a" increases? As "a" decreases?
5. How does the Tangent graph change as "b" increases? As "b" decreases?
6. What happens to the Tangent graph change when "a" goes from positive to negative?
7. Why does the Tangent graph drop off the bottom of the screen and reappear on the top?
8. What does the "h" variable do to the graphs (be specific)?
9. What does the "k" variable do to the graphs (be specific)?