8. Let f(x) = x² and let g be the function whose graph is given below. a. Explain and demonstrate how to graph h(x) = f(x – 2) + 4 by transforming the graph of f(x) = x². b. Verify your answer by writing out what h(x) = f(x – 2) + 4 is algebraically and graphing that. c. Explain and demonstrate how to graph j(x) = g(x – 2) + 4 by transforming the graph of g. 5 4 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -1 -2 -3 Graph of g for Problem 8
8. Let f(x) = x² and let g be the function whose graph is given below. a. Explain and demonstrate how to graph h(x) = f(x – 2) + 4 by transforming the graph of f(x) = x². b. Verify your answer by writing out what h(x) = f(x – 2) + 4 is algebraically and graphing that. c. Explain and demonstrate how to graph j(x) = g(x – 2) + 4 by transforming the graph of g. 5 4 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -1 -2 -3 Graph of g for Problem 8
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.1: Exponential Functions
Problem 3E: (a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________...
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