GCSE Maths (AQA)

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Completing the Square

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Algebra Graphs

Completing the Square

8:08 Quadratic Graph Calculations
Spec A11 A18
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  • Completing the square is a method used to rewrite a quadratic expression in a specific form.
  • It is useful for finding the turning points of a graph and solving quadratic equations.
  • When the coefficient of x squared is 1, the formula x squared plus bx plus c is equal to x plus b over 2 all squared minus b over 2 all squared plus c can be used.
  • To complete the square, half the coefficient of x and square it, then subtract it from the expression.
  • When the coefficient of x squared is not 1, the expression should be divided by the coefficient, then multiplied again at the end.
  • The process involves dividing the expression, using the formula to rewrite the quadratic, simplifying the terms, and multiplying by the coefficient at the end.

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