# Recognising Quadratic, Cubic and Reciprocal Graphs

With this applet you can learn how to recognise basic quadratic, cubic and reciprocal graphs

###### Author and programmer: Ron Barrow

UK Years 10-11, Ages 14-16, KS4, GCSE Mathematics - Algebra, Graphs

TweetInstructions below See also: Cubic and Quadratic Graphs Reciprocal (Rational Graphs)

## How to Use this Applet

The screen above is designed to help you recognise and understand some simple functions, by investigating their behaviour. The are three types of function for you to study:

`y` = a`x²` + b - **quadratic**, since it involves `x²`

`y` = a`x³` + b - **cubic**, since it involves
`x³`

`y` = a/`x` + b - sometimes called the **reciprocal**
function

In each case you should recognise the general shape of the function, and you
can use this applet to investigate the effects of changing the 'a' and 'b'
values.

A challenge! You can also test yourself by pressing the "Random Curve" button. This draws a curve of one of the 3 types (but doesn't tell you which!) Your first task is to decide which type it is, then try to match it by varying 'a' and 'b' values. Best of luck! Have fun!