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studyFunctions & Graphs
CoreMaths revision

Graph Transformations

Predict how algebraic changes move, stretch and reflect graphs.

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Focus points
✓Distinguish inside and outside transformations.
✓Track translations and reflections.
✓Combine transformations in order.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · vertical translation
Describe the transformation from y=f(x) to y=f(x)+5.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · horizontal translation
Describe y=f(x−3).
Question 3FluencyCore
Original practice · Free Online Revision
Skill · reflection
Describe y=−f(x).
Question 4FluencyCore
Original practice · Free Online Revision
Skill · reflection
Describe y=f(−x).
Question 5FluencyCore
Original practice · Free Online Revision
Skill · stretch
Describe y=2f(x).
Question 6FluencyCore
Original practice · Free Online Revision
Skill · quadratic transformation
The graph y=x² has vertex (0,0). What is the vertex of y=−3(x+2)²+7?
Question 7ReasoningCore
Original practice · Free Online Revision
Skill · point mapping
A point (4,−1) lies on y=f(x). Where does it map on y=f(x−2)+3?
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · combined transformations
Starting from y=√x, describe y=−2√(x+4)+1 and state its endpoint.