Transformation of Graphs Using Matrices - Translation
A type of transformation that occurs when a figure is moved from one location to another on the coordinate plane without changing its size, shape or orientation is a translation . Matrix addition can be used to find the coordinates of the translated figure.
Example:
Find the coordinates of the vertices of triangle with if it is to be moved units to the left and units up.
Write the coordinates of the triangle as a coordinate matrix.
Translating the triangle units to the left means that each -coordinate decreases by .
Translating the triangle units up means that each -coordinate increases by .
The translation matrix that will do this is
To find the coordinates of the vertices of the translated triangle add the translation matrix to the coordinate matrix:
The coordinates of the vertices of are .