Answer:
Explanation:
The system consists of two equations
The first is
[tex]x^2+y=2[/tex]
which when rearranged gives
[tex]y=2-x^2[/tex]
In the above form, we know that the equation represents a concave down parabola with a vertex at (0, 2).
Therefore, we must look for a graph that has a concave down parabola.
The second equation is
[tex]x^2+y^2=9[/tex]
which is that of a circle centred at (0,0) with radius 3.
Therefore, we must look for a graph that is a circle of radius 3 centred at (0.0).
The graph that has the above-mentioned qualities is shown below.
