GCSE Maths (Edexcel)

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Finding Roots of a Quadratic Graph

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Algebra Graphs

Finding Roots of a Quadratic Graph

4:54 Quadratic Graph Calculations
Spec A11
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  • The roots of a quadratic graph are where the graph cuts the x axis
  • The number of roots can vary depending on the position of the graph
  • The roots represent the solutions to the quadratic equation created by setting y equal to zero
  • The solutions can be found by factorizing the quadratic equation
  • Factorizing the quadratic equation involves finding two numbers that multiply together to give the constant term and add together to give the coefficient of x
  • The factorized quadratic equation can be used to form and solve two linear equations for x
  • The solutions to the linear equations are the roots of the quadratic equation
  • The roots can be used to draw a sketch of the quadratic function
  • Depending on the original quadratic function, there may be one repeated solution or no solutions at all.

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