Answer :
We have a point B(-8,1).
If a dilation with scale factor k=3 with center at the origin is applied, then the transformation can be written as:
[tex]\begin{gathered} (x,y)\to(kx,ky) \\ (x,y)\to(3x,3y) \end{gathered}[/tex]Then, the transformation applied to point B is:
[tex]B=(-8,1)\to B^{\prime}=(3\cdot(-8),3\cdot1)=(-24,3)[/tex]Answer: after the dilation the point B' will be at (-24,3)