Question

Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

Answer 1

Answer:

please send a picture of the test itself because I can't understand the system you wrote.

Answer 2

Answer:

The graph of given system of equations is shown below.

Step-by-step explanation:

Consider the given system of equations

$x^2+y=2$

$x^2+y^2=9$

We need to find the graph of the given system of equations.

The first equation can be rewritten as

$y=-x^2+2$

It is the vertex form of a parabola $y=a(x-h)^2+k$ where, (h,k) is vertex and a is a constant.

In the above equation h=0 and k=2, it means vertex of the parabola is (0,2).

Leading coefficient is negative in means it is a downward parabola. The table of values is

x :    -2         -1         0         1         2

y :    -2          1         2         1         -2

Plot these points on a coordinate plane and connect them by a free hand curve.

The second equation can be rewritten as

$x^2+y^2=3^2$

It is the standard form of a circle $(x-h)^2+(y-k)^2=r^2$ where, (h,k) is center of the circle and r is the radius.

In the above equation h=0,k=0,r=3. So, it is a circle with radius 3 and centered at (0,0).