**1. Can a growth curve go BELOW the x axis?**

Yes, a growth curve or exponential function such as y = 3

^{x}− 2 would drop 2 units below the x-axis.It would cut the y-axis at y = -1.

**2. Is the centre of a circle always the origin?**

No. Some of the circles you will study later have centres in other places.

e.g. (x + 2)

^{2}+ (x + 3)^{2}= 81 has centre (-2, -3) and radius of 9 units.

**3. On a hyperbola of the type xy = 4 the graph never cuts the x-axis or the y-axis**

**What are these two lines called in hyperbolas of this type?**

They are called

asymptotes.