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Investigate the Graphs of Quadratic Functions You will be using Desmcs https:/iwww.desmos.comicalculator which is an online graphing calculator for this exercise. You need to create
Investigate the Graphs of Quadratic Functions You will be using Desmcs https:/iwww.desmos.comicalculator which is an online graphing calculator for this exercise. You need to create an account by entering your email and your name and password. If you need help with creating an account, watch the following video: httpszliwwwyoutube.comiwatch?v=N15|SgoQNQE . Once you create an account, your name should appear in the upper right-hand corner. Please make sure you name is included in the screenshots for questions #1 -3. In this activity you will investigate the graphs of quadratic functions in the form. Please be sure the 2 is in the exponent position, use "2 when typing the following equation into Desmos. f(x) = a(x - h)2 + k You will be assessing the changes in both the shape and position of the graph. Procedures 0 Go to the Desmos online graphing calculator. Link: httgsziiwww.desmcscom/calculatori o In the first space on the left type in the equation above. 0 Click on "all sliders" to enable them. You can now adjust the values ofa, h. and k manually. First focus on a. 0 Set both h and k to zero. Change the value of a (make it both positive and negative, use several different values). 1. On your paper describe in complete sentences how a affects the shape and position of the graph. Please describe a_|| the noticeable effects as clearly as you can. Include a screenshot of your findings. Now focus on k. 0 Set a = 1 and h = 0. Change the value of k (make it both positive and negative, use several different values). 2. On your paper describe in complete sentences how it affects the shape and position of the graph. Please describe a_|| the noticeable effects as clearly as you can. Include a screenshot of your findings. Focus on h. I Set both 5: =1 and k = 0. Change the value of h (make it both positive and negative, use several different values). 3. On your paper describe in complete sentences how h affects the shape and position of the graph. Please describe a_|| the noticeable effects as clearly as you can. Include a screenshot of your findings. Analysis: Answer the following questions on your paper. 4. Which of the variables a, h and it change the position of the graph (translate the graph)? 5. Which of the variables a, h and it change the shape of the graph by stretching? Additional Questions: Answer the following questions on your paper in complete sentences. 6. What did you nd out? (What do you know now that you didn't before this activity) 7. What seems correct? What makes sense? 8. What seems wrong? What does not seem logical? 9. What do you still need to find out? What are you unsure of
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