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 scheme of work, following Pearson Edexcel GCSE (9–1) Mathematics, Higher tier (1MA1). Open this topic in Mr Wells Maths to see it alongside the rest of the course.