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Quadratic Curve – Coordinates of the Turning Point

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

  1. Using the Axis of Symmetry formula of the parabola
  2. Using the roots of the quadratic equation (the x-coordinate of the 2 points where the curve crosses the x-axis)
  3. 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

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