Non Linear - Hyperbolas

Question 1

What is the basic (rectangular) hyperbola equation

Answer 1

y = 1/x

Question 2

Where do the asymptotes occur on a regular hyperbola (y=1/x)

Answer 2

x=0, y=0

Question 3

What is an asymptote

Answer 3

An asymptote is a line which the curve approaches but never meets

Question 4

What are the generalised equations of a hyperbola (2 equations)

Answer 4

y = a/x
xy = a

Question 5

For a formula of y=a/x;

when 0 < a < 1 , is it compressed or stretched

Answer 5

Compressed

Question 6

For a formula of y = a/x

when a > 1, is it compressed or stretched

Answer 6

Stretched

Question 7

What is the equation for a hyperbola reflected about the x-axis

Answer 7

y = - 1/x

Question 8

For the hyperbola with the equation :
y=1/x +k,
When k > 0, is it translated up or down by k units

Answer 8

up by k units

Question 9

For the hyperbola with the equation :
y=1/x +k,
When k < 0, is it translated up or down by k units

Answer 9

down by k units

Question 10

For the hyperbola with the equation :
y= 1/x-h,
When h > 0, is it translated right or left by h units

Answer 10

right by h units

Question 11

For the hyperbola with the equation :
y= 1/x-h,
When h < 0, is it translated right or left by h units

Answer 11

left by h units