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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Transforming Ideas

### Name That Graph Again

### Slippery Slopes

### Which Parabola?

### Can You Find... Trigonometric Edition Part 2

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### Making Sense of Statistics

### Integration as Area

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In these problems about functions and graphs, it might help to think about transformations.

Age 16 to 18

Challenge Level

If you know some information about a parabola, can you work out its equation?

Age 16 to 18

Challenge Level

When you transform a function, what can you work out about the gradient?

Age 16 to 18

Challenge Level

Can you work out the equations of all these mixed up parabolas?

Age 16 to 18

Challenge Level

Can you find trig graphs to satisfy a variety of conditions?

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

These problems invite you to explore integration as area, and use area integrals to solve problems.