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Quadratic Rotation

Age 14 to 16 Short Challenge Level:




The curve $y=x^{2}-6x+11$ is rotated through $180^\circ$ about the origin.

What is the equation of the new curve? 











If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.


This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.