Begin with the sliders in these positions: a = 1 h = 0 k = 0 Then adjust each slider one at a time and observe what happens.

Copy and answer the following in complete sentences in your classwork section. 1. The standard form of the absolute value function is y = a |x - h| + k. When a = 1, h = 0 and k = 0 we end up with the equation y = |x|. Describe what the graph of this equation looks like on the coordinate plane. List at least three coordinates on the function. 2. What happens when you change k? What aspect of the absolute value function's graph does k alter? 3. What happens when you change a? What aspect of the absolute value function's graph does a alter? 4. What happens when you change h? What aspect of the absolute value function's graph does h alter? 5. Which slider (k, a or h) was the most surprising? Explain. 6. Create a table of values (with at least 5 coordinates) for the equation y = - 1 | x - 2 | + 3. Graph the values on a coordinate plane. Identify what the values of k, a and h are in this equation and explain how they are represented in your graph.