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AysviL [449]
3 years ago
5

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

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

C. The graph g(x) is horizontally compressed by a factor of 3.

Step-by-step explanation:

Given:

f(x)=x^{2},g(x)=(3x)^{2}

Here, the graph of g(x) is a transformation of the parent function f(x).

In order to transform f(x)=x^{2} to g(x)=(3x)^{2}, we need to perform the following transformation:

f(x)\rightarrow f(3x)\\x^2\rightarrow (3x)^2

As per the transformation rules, if a positive number greater than 1 is multiplied to x of the function, then the graph of the function compresses in the horizontal direction.

As 3 is multiplied to x of f(x), therefore, the graph of g(x) is a horizontal compression by a factor of 3.

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