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suppose that f(x) = x^2 and g(x) = 2/5 x^2 which statement best compares the graph of g(x) with the graph of f(x) A.the graph of g(x) is the graph of f(x) compressed vertically and flipped over the x-axis b.the graph of g(x) is the graph of f(x) compressed vertically c. the graph of g(x) is the graph of f(x) stretched vertically and flipped over the x-axis

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Answer:

b.the graph of g(x) is the graph of f(x) compressed vertically

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

and

[tex]g(x)=\frac{2}{5}x^2[/tex]

This is a transformation in the form

[tex]y=a*f(x)[/tex] where [tex]a=\frac{2}{5}[/tex]

Since 0<a<1, the graph of f(x) is compressed vertically by a factor of

[tex]\frac{2}{5}[/tex]

A function assigns the value of each element of one set to the other specific element of another set. The correct option is B.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

When the graph of the two function f(x) and g(x) is plotted, then it can be observed that the graph of g(x) is the graph of f(x) compressed vertically.

Hence, the correct option is B.

Learn more about Function:

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