A-Level Maths OCR B (MEI) (H640)

#4.3 Completing the square to find line of symmetry and turning point

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Understand and be able to use the method of completing the square to find the line of symmetry and turning point of the graph of a quadratic function and to sketch a quadratic curve (parabola).

  • The curve y=a(x+p)2+qy = a(x + p)^2 + q has
  • a minimum at (−p,q)(-p, q) for a>0a > 0 or a maximum at (−p,q)(-p, q) for a<0a < 0
  • a line of symmetry x=−px = -p.

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