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.
<h3>What is a function?</h3>
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.
brainly.com/question/5245372
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