x

Original graph and the big rule

Original graph and the big rule

Graph showing original curve y=f(x) with transformed curves y=f(x)+2, y=-f(x), y=f(x-3) and y=f(-x) on labelled axes and matching key points marked

Treat y=f(x)y=f(x)y=f(x) as the original graph. If f(a)=bf(a)=bf(a)=b, then the graph passes through (a,b)(a,b)(a,b), so transformations can be tracked by moving old points to new positions.

Transforming Graphs y=f(x) Lesson

  1. GCSE
  2. /Maths
  3. /Transforming Graphs y=f(x)

Step-by-step lessons covering Eduqas GCSE Maths Transforming Graphs y=f(x) for Foundation and Higher tier. Each lesson works through exam-style questions in Component 1 and Component 2 format. Build fluency with number, ratio and algebra first, since geometry, probability and statistics topics rely on them, and leave extra time nearer the exam for Higher-tier problem-solving and multi-step reasoning questions.

Lessons

Quadratic Simultaneous EquationsTransforming Graphs y=f(x)ProofCompleting the SquareThe Nth Term of a Quadratic SequenceQuadratic InequalitiesProof of the Circle TheoremsPerpendicular Lines and the equation of a tangentVectors Proof QuestionsProbability Equation Questions