Which of the following points are on the graphs of both the equation y=x^2+2 and y=x^2 in the xy plane

a. (-2,0)
b. (-1,1)
c. (0,2)
d. (1,1)
e. (2,4)

Question

Which of the following points are on the graphs of both the equation y=x^2+2 and y=x^2 in the xy plane

a.  (-2,0)
b. (-1,1)
c. (0,2)
d. (1,1)
e. (2,4)

anonymous · Answer

(-2, 0) is called an ordered pair. The first number is the x value and the second number is the y value.
An ordered pair is "on the graph" of an equation if it is a "solution" of the equation. Which means that if you plug the x value in for x and the y value in for y, then the equation will be true.

As a very simple example, look at the equation
y=x
(1,1) is "on the graph" because, if I plug in for x and y, I get:
1=1
However, (1,0) is not on the graph because it is not a solution.