Answer:
The scale factor of this dilation is 4.
Step-by-step explanation:
If the image of a point P(x,y) after the dilated with the center of dilation at the origin is P'(x',y'), then the scale factor of dilation is
[tex]k=\frac{x'}{x}=\frac{y'}{y}[/tex]
The point (-1,3) is dilated with the center of dilation at the origin, the image of the point is (-4,12).
It means [tex]x=-1,y=3,x'=-4,y'=12[/tex]
The scale factor of this dilation is
[tex]k=\frac{-4}{-1}[/tex]
[tex]k=4[/tex]
Therefore the scale factor of this dilation is 4.
