Add 4x^2+6x+9 to 2x^2+3x-9

 6x^2 + 9x

answer:

we have to find which graph represents the graph of the system of equations as:

       

and  

the graph of the equation (1) is a downward parabola( since the leading coefficient is negative) given as:

also the maximum value attained by the parabola is 2.

since when x=0 we get the maximum value.

also the graph of the second equation is a circle centered at the origin and radius 3.

since we know that the general equation of the circle centered at origin and   radius 'r' is given as:

hence, the graph that shows the system is attached to the answer.