Step 1:

The points on the parabola are and .

The parabola has vertical axis.

A parabola having vertical axis means standard form  of parabola is .

The point passes through parabola.

                          (1)

The point passes through parabola.

               (2)

The point passes through parabola.

               (3)

Step 2:

Solve the three linear equation.

Subtract equation (1) from equation (2).

                       (4)

Subtract equation (2) from equation (3).

                       (5)

Subtract equation (5) from equation (4).

Substitute in equation (4).

Substitute and   in equation (1).

Step 3:

Substitute , and in parabola equation.

The equation of parabola is .

Solution:

The equation of parabola is .