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

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 2E: The quadratic function f(x)=a(xh)2+k is in standard form. (a) The graph of f is a parabola with...

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