One of the easiest kinds of geometrical transformation is a translation. This basically involves moving a shape.

We need to know how to use column vectors to describe a translation. Also, if we are given a column vector we should be able to draw the image after a translation has taken place.

We should be able to apply a translation (if we know the column vector) to information given in coordinate form and to information given in graphical form.

Example

Exercise

Let’s complete exercise 15A on pages 245 to 247 of the textbook:

The answers are below: