Question

when the solutions to each of the two equations below are graphed in the xy-coordinate plane, the graphs intersect at two places. Write the y-coordinates of the points of intersection in the boxes below in order from smallest to largest y=2x y+x^2 - 3

Answer 1

The answer is -2 and 6

Answer 2

Answer:

Intersection points (1,2) and (-3,-6)

The y-coordinates of the points of intersection from smallest to largest is -6 to 2.

Step-by-step explanation:

Given : A system of equations $y=2x$ and   $y+x^2 - 3=0$

To find : Write the y-coordinates of the points of intersection?

Solution :  

Let, $y_1=2x$

and  $y_2=3-x^2$

Now, we plot these two equations.

The graph of $y_1=2x$  is shown with red line.

The graph of $y_2=3-x^2$  is shown with blue line.

The solution to this system will be their intersection point.

The intersection points of these graph are (1,2) and (-3,-6).

Refer the attached graph below.

Therefore, The y-coordinates of the points of intersection from smallest to largest is -6 to 2.