Question

A. The graph of g(x) is 12 units below the graph of f(x).B. The graph of g(x) is 12 units to the right of the graph of f(x).C. The graph of g(x) is 12 units above the graph of (x).D. The graph of g(x) is 12 units to the left of the graph of (x).

Answer 1

We are given an initial function:

$f(x)=x^2$

And we are given the function:

$g(x)=(x-12)^2$

The relationship between the two functions is the following:

$g(x)=f(x-12)$

When we have this type of relationship:

$g(x)=f(x-a)$

This means that the graph of g(x) is the translation of "a" units to the right of the graph of f(x).

Therefore, the graph of g(x) is 12 units to the right of the graph of f(x)., The right answer is B