Respuesta :

carlosego
To solve the problem shown in the figure above you must keep on mind the following information:

 1. The figure shows a parabola whose vertex is (0,0).

 2. The x² indicates that the red parabola shown in the figure is vertical 

 3. and the sign - indicates that the red parabola opens down.

 Therefore, you can conclude that the red parabola has the equation f(x)=-x²

 So, the answer is B.
If we observe the graph of F(x) and G(x), F(x) can be obtained by shifting the graph of G(x) 4 units down.

Shifting 4 units down means subtracting 4 from the function value.

So, G(x) = 4 - x²

Thus,

F(x) =  G(x) - 4 
F(x) = 4 - x² - 4 = - x²

Therefore, the correct answer is option B

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