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

Answer:
D
Step-by-step explanation:
Lets look at a value of x = 2
On f(x) = x^2, when x equal 2, y is 2^2 = 4
x = 2
y = 4
On g(x), when x equal 2, y is 1
That is: 1/4th of the value
So, the function of g(x) will be 1/4th of the function of f(x), thus we can say:
[tex]g(x)=\frac{1}{4}f(x)\\g(x)=\frac{1}{4}[x^2]\\g(x)=\frac{1}{4}x^2[/tex]
Correct answer choice is D