Question

Which graph shows the system
1 x² + y = 2
x² + y² = 9

Answer 1

Answer: graph A

Explanation:

Edge 2021

Answer 2

The graph of the system in the attached figure

Explanation:

we have

`x^(2)+y=2`

isolate the variable y

`y=-x^(2)+2` ----> equation A

This is the equation of a vertical parabola open down (because the leading coefficient is negative)

The vertex represent a maximum

the vertex is the point (0,2)

`x^(2) +y^(2)=9` ---> equation B

This is the equation of a circle centered at (0,0) with radius 3 units

The solution of the system of equations is the intersection points both graphs

using a graphing tool

The solutions are the points (-2.05,-2.19) and (2.05,-2.19)

see the attached figure