Which of the points A (2; 4) B (-1; 1) C (1; -1) D (-3; -9) E (5; -25) F (-4; 16) lies on the graph y = x ^ 2.

1. Substitute the coordinates of point A, we get:

4 = 2 ^ 2.

4 = 4.

Point A lies on the graph y = x ^ 2.

2. Substitute the coordinates of point B, we get:

1 = (-1) ^ 2.

1 = 1.

Point B lies on the graph y = x ^ 2.

3. We represent the coordinates of point C, we get:

(-1) = 1 ^ 2.

(-1) ≠ 1.

Point C does not lie on the graph y = x ^ 2.

4. Substitute the coordinates of point D, we get:

(-9) = (-3) ^ 2.

(-9) ≠ 9.

Point D does not lie on the graph y = x ^ 2.

5. Substitute the coordinates of point E, we get:

(-25) = 5 ^ 2.

(-25) ≠ 25.

Point E does not lie on the graph y = x ^ 2.

6. Substitute the coordinates of point F, we get:

16 = (-4) ^ 2.

16 = 16.

Point F lies on the graph y = x ^ 2.