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:
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.