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NRICH: Exploring Cubic Functions
NRICH (University of Cambridge)

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

NRICH: Parabolic Patterns
NRICH (University of Cambridge)

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

NRICH: Doesn't Add Up
NRICH (University of Cambridge)

In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

NRICH: Surprising Transformations
NRICH (University of Cambridge)

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

NRICH: Tangled Trig Graphs
NRICH (University of Cambridge)

Can you work out the equations of the trig graphs I used to make my pattern?

NRICH: Closer to Home
NRICH (University of Cambridge)

Which of these lines comes closer to the origin?

NRICH: Graph Triangles
NRICH (University of Cambridge)

Use the information about the triangles on this graph to find the coordinates of the point where they touch.

NRICH: Inside a Parabola
NRICH (University of Cambridge)

A triangle of area 64 square units is drawn inside the parabola y=k2−x2. Find the value of k.

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