Respuesta :

Answer:

[tex]f(x)=\frac{1}{(x-2)^2}[/tex]

Step-by-step explanation:

The base of the given function is [tex]g(x)=\frac{1}{x^2}[/tex]

The  function in the graph has been shifted 2 units to the right.

The transformation is of the form [tex]f(x)=g(x-2)[/tex]

So we replace x in g(x) with x-2 to get:

[tex]f(x)=\frac{1}{(x-2)^2}[/tex]

The correct answer is C