There are 3 possible ways of working out the coordinates of the vertex of a quadratic equation. These are:

- Using the Axis of Symmetry formula of the parabola
- Using the roots of the quadratic equation (the x-coordinate of the 2 points where the curve crosses the x-axis)
- Using completing the square

1. **Using the Axis of Symmetry of the Parabola **

**2. Using the Roots of the Quadratic Equation **

**EXAMPLE I – Using graphs to find the coordinates**

**EXAMPLE II – ** **Using the quadratic formula to find the coordinates**

**3. Using Completing the Square **