Answer: [tex]g(x)=\frac{1}{9}x^2[/tex]
Step-by-step explanation:
By definition, he quadratic parent function [tex]f(x)=x^2[/tex] is the simplest form of a quadratic function.
By definition, if the fucntion is multiplied by the factor b and:
|b|>0 the function is stretched.
If 0<|b|<1 the function is compressed.
Then the new function will have the form:
[tex]g(x)=(\frac{1}{b}x)^2[/tex]
Therefore, keeping the above on mind, if b=3, then the new function is:
[tex]g(x)=(\frac{1}{3}x)^2[/tex]
[tex]g(x)=\frac{1}{9}x^2[/tex]
