What you need to know
Check yourself against these “I can” statements.
- I can translate a graph, like y = f(x) + a and y = f(x + a)
- I can stretch a graph, like y = af(x) and y = f(ax)
- I can reflect a graph, like y = −f(x) and y = f(−x)
Practise this topic
6 resourcesTransforming Points on y = f(x)
A graph of y = f(x) with labelled points: where do they move to on y = f(x + c), af(x), f(−x) and so on, up to y = af(bx + c) + d? Level 6 works backwards from a point and its image to the transformation. Six levels, timed, click…
🔤 Fill the GapsFill the Gaps: Maths Vocabulary
A sentence explaining one of the unit’s key words, with gaps. Pick the right word for each gap from the words scattered round it: the right ones and plenty of wrong ones. A deck for every unit.
🕹️ Topic gameTransformation Golf
Eighteen holes of golf on a coordinate grid: every shot is a transformation, and the ball jumps to its image. Five courses: translations (column vectors), reflections (including y = x and y = −x), rotations, enlargements…
🧩 ConnectionsTransformations
Transform points by reflection, rotation, translation and enlargement and group them by where they land. Clockwise and axis traps from Standard; other centres and two-step moves on Hard.
⬢ BlockbustersTransforming Points on y = f(x) Blockbusters
Blockbusters with the questions from the Transforming Points on y = f(x) worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with…
🔗 MatchingTransforming f(x): Matching
The graph of y = f(x) is pinned at the top: match twelve graphs to y = af(bx + c) + d, where a, b, c and d can be negative. Choose a quadratic, cubic, reciprocal, exponential, trig or unfamiliar f(x). Easy uses one of a, b, c and…
These are the pages for Transformations in the GCSE + AQA Further Maths scheme of work, following Pearson Edexcel GCSE (9–1) Higher (1MA1), plus AQA Level 2 Further Mathematics (8365). Open this topic in Mr Wells Maths to see it alongside the rest of the course.