The question:

Show that the order in which transformations is important by first sketching the result when the triangle A(1,0) B(1,1) C(0,1) is rotated by 45 degrees about the origin and then translated by (1,0), and then sketch the result when it is first translated then rotated.

I'm not sure how to determine its position after rotation. Do I have to use a transformation matrix? If so, how would I apply it to this question? Thanks.