A dilation with a scale factor k about the origin can be described using the following notation:
(x,y)→(kx,ky).
In your case, k=2, then
- A (–6, –7)→A'(2·(-6),2·(-7))=A'(-12,-14);
- B (4, –2)→B'(2·4,2·(-2))=B'(8,-4);
- C (0, 7)→C'(2·0,2·7)=C'(0,14).
Answer: A'(-12,-14), B'(8,-4), C'(0,14).