f(x) = x^2. What is g(x)?

For function g(x), it displays the point (1,9) as part of the function. If (x,y), then we can plug those into the available answers. Plug 1 in for each x value in the function and whichever one equals 9 will be your answer. This is only true for g(x)=(3x)^2.

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anikroy anikroy · Answer 2 · 2022-06-19T02:05:25+02:00

The equation of g(x) = (x/3)^2.

How can we find the value of g(x)?

The graphs of the functions f(x) and g(x) are similiar and the difference between them is caused dilation.

g(x) = k*f(x)

We can find the equation of g(x) as follows:

It is given that f(x) = x^2

From the graph, we can see that g(3) = 1.

Therefore:

g(3) = k*f(3)

= k*3^2

= 1

k*3^2 = 1

⇒ k*9 = 1

⇒ k = 1/9

Now, substitute the value of k in the g(x)

g(x) = (1/9)*f(x)

⇒ g(x) = (1/9)*x^2

⇒ g(x) = (x/3)^2

Therefore, we have found the equation of g(x) = (x/3)^2. The correct answer is option C.

Learn more about quadratic functions here: brainly.com/question/1214333

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