Graph Transformations & Curve Sketching | OCR A-Level Maths | 40 Worked Examples (H240)

A 40-question worked-solutions pack on graph transformations and curve sketching for OCR A-Level Mathematics A (H240), covering spec content 1.02m-r and 1.02w-x. Every solution is broken down one step at a time with a plain-English note on each working line and OCR M/A/B mark-scheme annotations folded in on the real mark-earning lines. Progressive difficulty runs from Easy to Challenging: describing and finding equations for the four single transformations y=f(x)+a, y=f(x+a), y=af(x) and y=f(ax) (with column-vector translations), sketching polynomials in factorised form including repeated roots, reciprocal graphs with asymptotes, proportional relationships, and using intersection points to solve equations. The Challenging section examines combinations of transformations (Stage 2, A-Level only), order-of-transformation reasoning, and detailed-reasoning (DR) questions, with rich TikZ diagrams throughout showing each transformed curve against its original. Ideal for OCR A-Level revision, homework and exam practice.