We are given the equation y = x^2 and 4 points in the form (x, y).
Replace x and y in the equation with the values of x and y for each given point. The values that yield the same answer on both sides of the equation lie on the graph of y = x^2. The opposite is also true.
Let's try every point.
(3/2, 9/2)
9/2 = (3/2)^2
9/2 does not equal 9/4. Not a point on the graph of the equation.
1 = (-1)^2
1 = 1
Point on the graph of the equation.
(4, 16)
16 = 4^2
16 = 16
Point on the graph of the equation.
(1/2, 1/4)
1/4 = (1/2)^2
1/4 = 1/4
Point on the graph of the equation.
The only point not on the graph of the equation y = x^2 is (3/2, 9/2).
Understand?
