Suppose that f(x)=x^2 and g(x)=2/5x^2. how does the graph of g(x) compare with the graph of f(x)?

The graph of g(x) is the graph of f(x) compresed vertically.

Step-by-step explanation:

Given the parent function , there are some transformations rules:

If when , then it is stretched vertically.

If when , then it is compresed vertically.

If when , then it is stretched horizontally.

If when , then it is compresed horizontally.

In this case for , it has the form and , then the graph of g(x) is the graph of f(x) compresed vertically.