Respuesta :

Answer:

A

Step-by-step explanation:

We are given the function:

[tex]f(x) = x^2 - 4x[/tex]

And we want to find:

[tex]\displaystyle f(2b^2)[/tex]

Substitute:

[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]

In conclusion, our answer is A.