Answer: First option
[tex]g(x) = \frac{1}{8}x^2[/tex]
Step-by-step explanation:
Step-by-step explanation:
If the graph of the function [tex]y=cf(x)[/tex] represents the transformations made to the graph of [tex]y= f(x)[/tex] then, by definition:
If [tex]0 <c <1[/tex] then the graph is compressed vertically by a factor c.
If [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor c
If [tex]c <0[/tex] then the graph is reflected on the x axis.
In this problem we have the function [tex]f(x)=x^2[/tex] If this function is vertically compressed by a factor of 8 then [tex]0 <c <1[/tex] and [tex]c=\frac{1}{8}[/tex]
Therefore the graph of g(x) is [tex]g(x)=\frac{1}{8}f(x)[/tex]
[tex]g(x) = \frac{1}{8}x^2[/tex]
The answer is the first option
