New Zealand
Level 7 - NCEA Level 2

# Transformations of Hyperbolas

## Interactive practice questions

This is a graph of the hyperbola $y=\frac{1}{x}$y=1x.

a

What would be the new equation if the graph was shifted upwards by $4$4 units?

b

What would be the new equation if the graph was shifted to the right by $7$7 units?

Easy
Approx a minute

This is a graph of $y=\frac{1}{x}$y=1x.

This is a graph of $y=\frac{1}{x}$y=1x.

Consider the functions $y=\frac{4}{x}$y=4x and $y=\frac{2}{x}$y=2x :

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems