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CAIE A-Level Mathematics AS 1.1.1 Completing the Square Questions

Practise completing the square and using the resulting form to analyse quadratic functions.

Syllabus
2028–2030
Course
Mathematics 9709
Level
AS

Exam points

  • rewrite quadratic expressions by completing the square
  • identify the vertex and range of a quadratic function
  • use completed-square form to solve and interpret quadratics

CAIE A-Level Mathematics AS 1.1.1 Completing the Square Questions question 1

[Maximum number: 2]

Express 3y2−12y−153 y^{2}-12 y-15 in the form 3(y+a)2+b3(y+a)^{2}+b, where a and b are constants.

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