Hey can you me posted picture of question

The correct answer for the problem shown in the picture attached is the option A:

 A. G(x)=(x+3)^2-2

 The explanation is shown below:

 1. As you can see in the graph shown in the picture attached, there is two parabolas. The red parabola has the patern function F(x)=x^2, which means that is the most basic function of the quadratic functions. The blue parabola is shifted 3 units on the -x axis and 2 units on the -y axis, therefore, the correct option is the Option A.