Now that we have a good idea of how parameter impacts the of , we may explore the role b of parameter So, we will keep constant and then vary parameter until we can explain its a. b a impact. Case 1: = 2 and > 0 b a Let = 2 and = 0.5 and type the resulting equation into Y1 on your calculator. (You are b a graphing ) Use the window settings 4.7 and 5 with an and x y x-scale –4.7 ≤ ≤ –1 ≤ ≤ of 1. As a check, your equation and window should look as follows: And, your graph should look as follows: Leave in Y1 and now let = 1 by placing in Y2. Sketch the resulting image on the graph a above. Repeat for = 2 and = 3. a a Identify the on each y-intercepts How is the related to parameter y-intercept a? Based on this investigation where = 2 and > 0, how does the graph change as parameter b a a gets larger? Remember to use good mathematical vocabulary. Section 4: Summary
Now that we have a good idea of how parameter b impacts the of , we may explore the role of parameter a. So, we will keep b constant and then vary parameter a until we can explain its impact. Case 1: b = 2 and a > 0 Let b = 2 and a = 0.5 and type the resulting equation into Y1 on your calculator. (You are graphing ) Use the window settings –4.7 ≤ x ≤ 4.7 and –1 ≤ y ≤ 5 with an x-scale and of 1. As a check, your equation and window should look as follows: And, your graph should look as follows: Leave in Y1 and now let a = 1 by placing in Y2. Sketch the resulting image on the graph above. Repeat for a = 2 and a = 3. Identify the y-intercepts on each How is the y-intercept related to parameter a? Based on this investigation where b = 2 and a > 0, how does the graph change as parameter a gets larger? Remember to use good mathematical vocabulary. Section 4: Summary
alg_u7_i3_a732_exploring_graph_y.docx