Functions and Graphs Stage 4 - Short Problems

Unequal Statements

Stage: 3 Short Challenge Level:

Weekly Problem 32 - 2010
For what numbers are each of these statements true? How many of the statements can be true at the same time?

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