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4.2: Graphing Parabolas Team Activity In both Parts I and II of this activity, your team will be assigned one of the four groups of functions (A, B, C or D). Work carefully and clearly, as you will be presenting the results of your function group to the rest of the class - who will have worked on different groups. Part I f(x)=x² f(x)=x² f(x)=x² f(x)=x² g(x) = 2x² g(x) = 3x² g(x): g(x)=x² A. h(x) = -2x B. h(x)=-3x² 1 h(x) = h(x)= p(x)= 0-12x² p(x)=-x² 2 p(x)=2x² p(x)=-3x² For the function group you are assigned, simultaneously graph all three of the functions in an appropriate viewing window. How do the graphs of y-g(x) and y=h(x) compare to the graph of y=f(x)? Discuss your observations with your group members and answer the following questions. 1. Explain (write words!) how the graph of h(x)= -ax² compares to the graph of g(x) = ax². 2. Explain how the graph of g(x) = ax² compares to the graph of f(x)= x² when a> 1. 2. Explain how the graph of g(x) = ax compares to the graph of f(x)= x² if 0

4.2: Graphing Parabolas Team Activity In both Parts I and II of this activity, your team will be assigned one of the four groups of functions (A, B, C or D). Work carefully and clearly, as you will be presenting the results of your function group to the rest of the class - who will have worked on different groups. Part I f(x)=x² f(x)=x² f(x)=x² f(x)=x² g(x) = 2x² g(x) = 3x² g(x): g(x)=x² A. h(x) = -2x B. h(x)=-3x² 1 h(x) = h(x)= p(x)= 0-12x² p(x)=-x² 2 p(x)=2x² p(x)=-3x² For the function group you are assigned, simultaneously graph all three of the functions in an appropriate viewing window. How do the graphs of y-g(x) and y=h(x) compare to the graph of y=f(x)? Discuss your observations with your group members and answer the following questions. 1. Explain (write words!) how the graph of h(x)= -ax² compares to the graph of g(x) = ax². 2. Explain how the graph of g(x) = ax² compares to the graph of f(x)= x² when a> 1. 2. Explain how the graph of g(x) = ax compares to the graph of f(x)= x² if 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10:00 * * - X : ZOOM Worksheet 4.2: Graphing Parabolas Team Activity In both Parts I and II of this activity, your team will be assigned one of the four groups of functions (A, B, C or D). Work carefully and clearly, as you will be presenting the results of your function group to the rest of the class - who will have worked different groups. Part I f(x)=x² f(x)=x² f(x)=x² f(x)=x² g(x) = 3x² g(x) = 2x² A. h(x) = -2x² g(x)= g(x)= B. h(x)=-3x² h(x)= h(x) = - p(x)= p(x)=x² p(x) = 2x² p(x)=-3x² For the function group you are assigned, simultaneously graph all three of the functions in an appropriate viewing window. How do the graphs of y-g(x) and y=h(x) compare to the graph of y=f(x)? Discuss your observations with your group members and answer the following questions. 1. Explain (write words!) how the graph of h(x) = -ax² compares to the graph of g(x) = ax². 2. Explain how the graph of g(x) = ax² compares to the graph of f(x)= x² when a> 1. 2. Explain how the graph of g(x) = ax compares to the graph of f(x)= x² if 0< a < 1 (a is positive but than Page 1 of 2 possible to have enough time to communicate with your team members. ||| < Quadratic Formul... acomacc.instructure.com C. =-1/2x² D.
Transcribed Image Text:10:00 * * - X : ZOOM Worksheet 4.2: Graphing Parabolas Team Activity In both Parts I and II of this activity, your team will be assigned one of the four groups of functions (A, B, C or D). Work carefully and clearly, as you will be presenting the results of your function group to the rest of the class - who will have worked different groups. Part I f(x)=x² f(x)=x² f(x)=x² f(x)=x² g(x) = 3x² g(x) = 2x² A. h(x) = -2x² g(x)= g(x)= B. h(x)=-3x² h(x)= h(x) = - p(x)= p(x)=x² p(x) = 2x² p(x)=-3x² For the function group you are assigned, simultaneously graph all three of the functions in an appropriate viewing window. How do the graphs of y-g(x) and y=h(x) compare to the graph of y=f(x)? Discuss your observations with your group members and answer the following questions. 1. Explain (write words!) how the graph of h(x) = -ax² compares to the graph of g(x) = ax². 2. Explain how the graph of g(x) = ax² compares to the graph of f(x)= x² when a> 1. 2. Explain how the graph of g(x) = ax compares to the graph of f(x)= x² if 0< a < 1 (a is positive but than Page 1 of 2 possible to have enough time to communicate with your team members. ||| < Quadratic Formul... acomacc.instructure.com C. =-1/2x² D.
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