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Shifting and scaling: Starting with the graph of f ) = x2,

Chapter 5, Problem 14RE

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QUESTION:

Shifting and scaling The graph of y = f(x) is shown in the figure. Sketch the graph of the following functions.

a. f(x + 1)              b. 2f(x - 1)          c. -f(x/2)            d. f(2(x - 1))

               

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QUESTION:

Shifting and scaling The graph of y = f(x) is shown in the figure. Sketch the graph of the following functions.

a. f(x + 1)              b. 2f(x - 1)          c. -f(x/2)            d. f(2(x - 1))

               

ANSWER:

Step-by-step solution 14RE Step 1 To solve the problem, we first graph the function f(x) = x which is the basis for all the graphs of f(x + 3), 2f(x 4), f(3x), and f(2(x 3)). With this, the 2 graph of f(x) = x is shown below.

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