To perform a horizontal stretch you have to multiply the x-term of the function by the factor.
[tex]f(bx)[/tex]
Where b is the stretch factor and its value must be 0 ≤ b ≤ 1
So, to stretch the function f(x)=x² you have to divide the x-term of the function by 4 or multiply it by its inverse 1/4:
[tex]\begin{gathered} g(x)=f(\frac{1}{4}x) \\ g(x)=(\frac{1}{4}x)^2 \end{gathered}[/tex]
The correct option is B.
