New Zealand

Level 7 - NCEA Level 2

Answer the following.

a

Find the value of $b$`b` if $\left(-6,b\right)$(−6,`b`) lies on the hyperbola $xy=-12$`x``y`=−12.

b

In which quadrants does the hyperbola lie?

2

A

4

B

1

C

3

D

Easy

Approx 2 minutes

Consider the table of values for the function $y$`y`.

The point $P$`P`$\left(1,4\right)$(1,4) lies on the hyperbola with equation $y=\frac{k}{x}$`y`=`k``x`. Find the value of $k$`k`, and hence find the equation of the hyperbola shown.

The point $P$`P`$\left(-2,2\right)$(−2,2) lies on the hyperbola with equation $y=\frac{k}{x}$`y`=`k``x`. Find the value of $k$`k`, and hence find the equation of the hyperbola shown.

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