Respuesta :

The equation of the function g(x) will be g(x) = (1/2) x². Then the correct option is B.

The complete question is attached below.

What is a function?

Functions are found all across mathematics and are required for the creation of complex relationships.

The function f(x) is given below.

f(x) = x²

Then the function g(x) will be

g(x) = a · x²

Then the value of will be

From the graph, at x = 2, g(x) will be 2.

Then we have

2 = a · 2²

a = 1/2

Then the equation of the function g(x) will be g(x) = (1/2) x².

Then the correct option is B.

More about the function link is given below.

https://brainly.com/question/5245372

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