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

**1)** Using the Axis of Symmetry formula of the parabola

**2)** Using the roots of the quadratic equation (where the **parabola intersects the x-axis**)

**3)** Using completing the square (where the **parabola does not interect the x-axis**)

1. **Using the Axis of Symmetry (AoS) 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 **