UK Secondary (7-11)
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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
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The $x$x and $y$y values of a point on the coordinate plane multiply to give $9$9.

Consider the graph of $y=\frac{2}{x}$y=2x.

The equation $y=-\frac{12}{x}$y=12x represents an inverse relationship between $x$x and $y$y.

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