The graph of f(x), shown below in pink, has the same shape as the graph of g(x) = x^2, shown in gray. which of the following is the equation for f(x)?

The correct option is B.

Step-by-step explanation:

The given function is

The gray curve represent the graph of function G(x)

The vertex form of the parabola is

Where, (h,k) is the vertex and a is stretch factor.

From the given graph is clear that the vertex of F(x) is at point (1,-2) and the stretch factor is 1. So, the function F(x) is defined as

Therefore the correct option is B.

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step-by-step explanation: