Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x^{2} +y=7[/tex]
[tex]y=-x^{2}+7[/tex] ----> equation A
This is the equation of a vertical parabola open downward
The vertex is the point (0,7)
[tex]x^{2} +y^{2}=49[/tex]
[tex]x^{2} +y^{2}=7^{2}[/tex] ----> equation B
This is the equation of a circle with center at (0,0) and radius equal to 7 units
The y-intercepts of the circle are the points (0,7) and (0,-7)
therefore
The graph in the attached figure
