Transformation of Graphs - stretching

 

The tranformations of graphs are aimed at:

• GCSE
• IGCSE
• GCE -OL
• GCE - AL
• AS
• A Level
• High School

The above animation shows the strtching of a graph parallel to y-axis and x-axis.

f(x) → af(x) is stretching parallel to y-axis by a factor a.

E.g.

f(x) = x² - 2x → 2f(x) = 2(x² - 2x)

f(x) → f(ax) is stretching parallel to x-axis by a factor 1/a.

E.g.

f(x) = x² - 2x → f(2x) = (2x)² - 2(2x)

You can practise the above interactively with the following applet: