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The graph of y = f(x) is shown below. 

 

For each point (a,b) that is on the graph of y = f(x), the point is plotted, forming the graph of another function y = g(x). As an example, the point (0,2) lies on the graph of y = f(x), so the point  lies on the graph of y = g(x).

 

(a) Plot the graph of y = g(x). Include the diagram as part of your solution.

 

(b) Express  in terms of 

 

(c) Describe the transformations that can be applied to the graph of y = f(x) to obtain the graph of y = g(x). For example, one transformation could be to stretch the graph vertically by a factor of 4.

 Aug 24, 2021
 #1
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(a) See the graph below.

 

(b) g(x) = 1/3*f(2x + 2).

 

(c) We stretch the graph horiztonally by a factor of 2, then stretch the graph vertically by a factor of 3, then shift down 2 units.

 

 Aug 24, 2021
 #2
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Wait how did you get b and c?

Guest Aug 24, 2021

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