Which of the points M (-2 and 4), N (1,2 and 1.44), K (3 and -9) are located on the parabola y = x?

The coordinates of the points of the parabola y = x ^ 2 must satisfy the condition: the square of the x coordinate is equal to the y coordinate. Let us check on it that the points M (-2; 4), N (1,2; 1.44) and K (3; -9) belong to the parabola y = x ^ 2.

1) We check M (-2; 4):

(-2) ^ 2 = 4;

4 = 4 – the condition is fulfilled, so M belongs to the parabola.

2) Let’s check N (1,2; 1,44):

(1.2) ^ 2 = 1.44;

1.44 = 1.44 – the condition is fulfilled again, which means that N belongs to the parabola.

3) Check for belonging to K (3; -9):

3 ^ 2 = -9;

9 = – 9 – wrong, the condition is not met, point K does not lie on the parabola.

Answer: M and N.