F(x) = x2. What is g(x)?

The correct option is C.

Step-by-step explanation:

The given function is From the given graph it is clear that the vertex of f(x) and g(x) are same, i.e.,(0,0). But the graph of g(x) compressed vertically. If k>1, then graph of g(x) stretched vertically and if k<1, then graph of g(x) compressed vertically.  The graph of g(x) passing through the point (2,2). The value of k is 1/2. The function g(x) is Therefore, option C is correct.