I am asked to graph a triangle with the vertices (-3, 2), (5, 6), and (6, -4) after performing a dilation about the origin of scale factor 4.

Question

What does "about the origin" mean? Is this the same as just multiplying the ordered pairs by 4? Are the new vertices (-12, 8), (20, 24), and (24, -16)?

Answer 1

you are correct.

A dilation might be around some other point, in which case distances to that point are scaled, and things get much more complicated.