Translation
Maths: Edexcel A Level Pure Maths, topic 2.7.3
Translations
Translations are when we move a graph without changing its shape.
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Vertical translation
- Moves a function up or down. For y = f(x):
- y = f(x) + a moves the graph up by a
- y = f(x) - a moves the graph down by a
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Horizontal translation
- Moves a function left or right. For y = f(x):
- y = f(x + a) moves the graph left by a
- y = f(x - a) moves the graph right by a
Test yourself on Translation
The equation of the blue line is x³ + 4. What colour line is (x - 2)³ + 4?
The equation of the blue line is x³ + 4. What colour line is (x + 2)³ + 4?
If y = f(x), where will y = f(x) + 7 appear on the same graph?
If y = f(x), where will y = f(x-3) appear on the same graph?
If y = f(x), where will y = f(x-2) - 8 appear on the same graph?