How are the graphs #f(x)=x^3# and #g(x)=-(2x)^3# related?

1 Answer
Fleur
Jul 4, 2017

The graph of #g(x)# can be described as a transformation of the graph of #f(x)#.

Explanation:

First, take a look at the graph of #f(x)#.
graph{x^3 [-10, 10, -5, 5]}

Now look at the graph of #g(x)#.
graph{-(2x)^3 [-10, 10, -5, 5]}

The graph of #f(x)# is horizontally shrunk by a factor of #1/2# and reflected over the #y#-axis to get the graph of #g(x)#.

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