This worksheet will allow you to explore transformations of linear functions using technology.[br]Be as detailed in your responses as possible (complete sentences please).[br][br]1. Identify the equation for the starting function (black, f(x)).[br][br]2. Click the box next to f(x+k). What happens to the red line when k is 0? 3? -3? What kind of transformation is this? Why does the line change?[br][br]3. Turn off f(x+k) by clicking its box. Click the box next to f(x)+h.What happens to the blue line when h is 0? 2? -2? What kind of transformation is this? Why does the line change?[br][br]4. Turn off f(x)+h. Click the box next to f((1/b)*x). What happens when the green line when b is -4, -1, 0, 1, and 4? What kind of transformation is this? Why does the line change?[br][br]5. Turn off f((1/b)*x). Click the box next to a*f(x). What happens to the orange line when a is -3, 0, or 3? What kind of transformation is this? Why does the line change?