Graph Transformations

MathematicsAQAEdexcelGCSEUnit: Graphs
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The basics

Moving and Stretching Graphs

Moving and Stretching Graphs

If you know what y = x² looks like, what about y = (x + 3)² or y = 2x²? These are the same curve, just moved or stretched! Understanding transformations means you can sketch any related graph instantly.
Graph transformations diagram
Spotlight
Transformation Rules (THE Table!)

Memory trick: Inside brackets = opposite direction (+ goes left, − goes right)!

Now try it yourself

Quiz · Question 1 of 14

The graph of y = f(x) is transformed to y = f(x) + 3. Which of the following describes this transformation?

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