Quadratic rotation

The curve $y=x^2-6x+11$ is rotated through $180^\circ$ about the origin. What is the equation of the new curve?

Problem



 

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Quadratic Rotation



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.