New Zealand
Level 7 - NCEA Level 2

# Identify Characteristics of Hyperbolas

## Interactive practice questions

The four quadrants on the coordinate axes are labelled $1$1 to $4$4 anticlockwise, starting with $1$1 in the quadrant where $\left(2,3\right)$(2,3) lies.

a

In which quadrant are $x$x and $y$y values both positive?

$2$2

A

$3$3

B

$4$4

C

$1$1

D

$2$2

A

$3$3

B

$4$4

C

$1$1

D
b

In which quadrant are $x$x and $y$y values both negative?

$1$1

A

$4$4

B

$2$2

C

$3$3

D

$1$1

A

$4$4

B

$2$2

C

$3$3

D
c

In which quadrant is $x$x positive and $y$y negative?

$4$4

A

$3$3

B

$2$2

C

$1$1

D

$4$4

A

$3$3

B

$2$2

C

$1$1

D
d

In which quadrant is $y$y positive and $x$x negative?

$2$2

A

$1$1

B

$4$4

C

$3$3

D

$2$2

A

$1$1

B

$4$4

C

$3$3

D
Easy
Approx a minute

The $x$x and $y$y values of a point on the coordinate plane multiply to give $9$9.

Consider the expression $\frac{2}{x}$2x for $x>0$x>0.

Consider the expression $\frac{3}{x}$3x for $x<0$x<0.

### 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