Day 2 of rational functions[br]-Graphing transformations of the graph [math]y=1/x[/math]

[b]Part 1: Exploring a, h, and k.[/b][br]1. Re-set the sliders so that [i]a[/i]=1 and [i]h[/i] and [i] k[/i] are zero. What is this graph?[br]2. Move only the slider for [i]a[/i]. How does the graph change as [i]a[/i] changes?[br]3. Re-set [i]a[/i] to one by clicking "Values for 1/x" and slide only the slider for [i]h[/i]. How does the graph change as [i]h[/i] changes?[br]4. Re-set [i]h[/i] to zero and slide only the slider for [i]k[/i]. How does the graph change as [i]k[/i] changes?[br][br][b]Part 2: Matching a Graph to an Equation[/b][br]1. Copy the equation at the top of the screen onto your worksheet.[br]2. Move the sliders for [i]a, h, [/i]and[i] k[/i] until your graph matches the equation at the top of the screen. If your values are correct, the word "Great!" will appear on your screen.[br]3. Record the values of [i]a, h, [/i]and[i] k[/i] for the graph onto your worksheet.[br]4. Record the horizontal and vertical asymptotes of the graph onto your worksheet.[br]5. Describe the change from the graph of [math]1/x[/math] to the new function[br]6. Click "New function" and repeat steps 1-5 above for several more functions.[br][br][b]Part 3: Follow-Up Questions and Homework[/b][br]Answer the follow-up questions provided in your packets before class tomorrow.