How do the graphs of f (x) = x^3 and g (x) = (1/3x) ^3 relate?

Question

Mathematics

Terrance Heath

18 January, 22:23

How do the graphs of f (x) = x^3 and g (x) = (1/3x) ^3 relate?

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Answers (2)

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Judah Schultz · Answer 1

Graph of g (x) is the transformation of the graph of f (x) The graph of f (x) is: while of g (x) is graphed We can see the g (x) is f (x) after a reflection on the y-axis and a horizontal compression by a factor of 1/3

Ross Wise · Answer 2

Both graphs have the same exponential degree of 3. The only difference between the two is that g (x) is expanded to a scale factor of 3, due to the coefficient being 1/3.