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This problem challenges you to sketch curves with different properties.
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Explore a new way of multiplying with matrices.
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What happens when you find the powers of this matrix?
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Explore the shape of a square after it is transformed by the action of a matrix.
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Three equilateral triangles ABC, AYX and XZB are drawn with the point X a moveable point on AB. The points P, Q and R are the centres of the three triangles. What can you say about triangle PQR?
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Which curve is which, and how would you plan a route to pass between them?
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What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?
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Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.
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Find the location of the point of inflection of this cubic.
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Look for the common features in these graphs. Which graphs belong together?
