Option-D will represent the required graph of the function [tex]g(x) = \frac{1}{2}f(x)[/tex].
What is a function?
"A function is defined as a relation between a set of inputs having one output each."
The given function:
[tex]f(x) = x^{2}[/tex]
Therefore the required function is:
[tex]g(x)\\= \frac{1}{2}f(x)\\= \frac{1}{2}x^{2}[/tex]
By putting the values of 'x' as -2, -1, 0, 1, 2 etc. we get:
[tex]g(-2) = (-2)^{2} = 4\\ g(-1) = (-1)^{2} = 1\\ g(0) = (0)^{2} = 0\\ g(1) = (1)^{2} = 1\\ g(2) = (2)^{2} = 4[/tex]
By plotting this value, we get option-D is the graph that represents the function g(x).
Learn more about a function here: https://brainly.com/question/12251916
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![Suppose f(x) = [tex] {x}^{2} [/tex]. What is the graph of g(x)=1/2f(x)? class=](https://us-static.z-dn.net/files/d33/ab033194659ea313da494c2ffb0dcbea.jpg)
