Use the check boxes in turn to explore the relationship between f(x) and g(x) on the coordinates of P and Q.

1. Check the g(x) = f(x) + k box. What is the connection between vector PQ and k? Move the point using slider a. Describe the transformation. 2. Uncheck g(x) = f(x) + k and check h(x) = k f(x). What is the connection between vectors XP, XR and k?. Move the point using slider a. Describe the transformation. 3. Uncheck h(x) = k f(x) and check i(x) = f(x + k). What is the connection between vector PS and k? Move the point using slider a. Describe the transformation. 4. Uncheck I(x) = f(x + k) and check l(x) = f(kx). What is the connection between vectors YP, YT and k? Move the point using slider a. Describe the transformation.