# Functions and Graphs Stage 4 - Short Problems

### Weekly Problem 48 - 2012

##### Stage: 4 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?

### Weekly Problem 49 - 2012

##### Stage: 4 Challenge Level:

Sketch the graph of the curve $y^2 = x(2−x)$