8.3 Hyperbola

A hyperbola curve is formed when there is reciprocal relationship between dependent and independent variables.

Example 1

Draw the graph of reciprocal equation y = 4/x – 8. What are the asymptotes? Is there any x-intercept?

Example 2

Which one of the following equations best describes the graph below?

You might find the following videos helpful related to this section:

8E Reciprocal Functions (1 of 3)

by Mr Bodgers (click to view channel)

Introduces the reciprocal function and shows what a hyperbolic curve looks like.

NEXT VIDEO

8E Reciprocal Functions (2 of 3)

by Mr Bodgers (click to view channel)

Shows you how to perform transformation on basic hyperbolas using Desmos.

NEXT VIDEO

8E Reciprocal Functions (3 of 3)

by Mr Bodgers (click to view channel)

This is an interactive graphing activity. You are required to construct hyperbolas in Desmos that meet certain criteria.

NEXT VIDEO

8F Reciprocal Models

by Mr Bodgers (click to view channel)

Models a practical problem using a reciprocal function. In this example we use a reciprocal equation to calculate the cost per person for hiring a bus.

NEXT VIDEO

8G Inverse Variation (1 of 2)

by Mr Bodgers (click to view channel)

Explains what inverse variation is and completes an example.

NEXT VIDEO

8G Inverse Variation (2 of 2)

by Mr Bodgers (click to view channel)

Completes a practical problem on inverse variation.

NEXT VIDEO

The following are the types of questions you can expect in exam:

– 8.3.1 Exam Question Type 1

– 8.3.2 Exam Question Type 2

Study notes of this section and other resources can be accessed here:

– 8.3.3 Study Notes & Resources