Function [tex]f(x) = x^{2}[/tex] represents the graph of parabola while [tex]g(x) = \frac{f(x)}{4}[/tex] represents the horizontally stretched form of f(x). Parabola become wider.
What is graph?
" Graph is defined as the representation of the relation between two variable on the coordinate plane along x-axis and y-axis."
According to the question,
Given function
[tex]f(x) = x^{2}[/tex]
g(x) is defined as divide f(x) by 4.
[tex]g(x) = \frac{f(x)}{4}[/tex]
[tex]= \frac{x^{2} }{4}[/tex]
Graph becomes wider as shown in the graph drawn with comparison of f(x) and g(x),
Hence, Option(C) is the correct answer.
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