Suppose f(x) = x^2 and g(x)=(1/3x)^2
Which statement best compares the
graph of g(x) with the graph of f(x)?

Given:

The two functions are:

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

           ...(i)

If , the function f(x) is horizontally stretched by factor .

If , the function f(x) is horizontally compressed by factor .

We have,

Using these functions, we get

        ...(ii)

On comparing (i) and (ii), we get

Since , the function f(x) is horizontally stretched by factor .

Hence, the correct option is D.

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step-by-step explanation:

answer: answer

step-by-step explanation: