Question

Which of the following rational functions is graphed below?

Answer 1

`f(x)=(1)/((x-2)^2)`

Explanation:

The base of the given function is
`g(x)=(1)/(x^2)`

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

The transformation is of the form
`f(x)=g(x-2)`

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

`f(x)=(1)/((x-2)^2)`

The correct answer is C