Given:
The coordinates of the each variable in the word △RUN are,
![\begin{gathered} R(-4,8) \\ U(-6,0) \\ N(-3,-6) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/glc7gsoxz4yvcvrxn1u71zfv85iu1rhwl2.png)
The transformation rule of each coordinate is,
![(x,y)=(x+5,y-3)](https://img.qammunity.org/2023/formulas/mathematics/college/e4xy6tg3z4vdxmyor6epaj710r42n3f57h.png)
The objective is to find the coordinates of △R'U'N' under the rule.
Step-by-step explanation:
By applying the transformation for each coordinate,
![\begin{gathered} R^(\prime)=(-4+5,8-3)=(1,5) \\ U^(\prime)=(-6+5,0-3)=(-1,-3)_{} \\ N^(\prime)=(-3+5,-6-3)=(2,-9) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/i93mjwkqx6g0025zhne1vofezdd4kueq9f.png)
Thus, the new coordinates are R'(1,5), U'(-1,-3) and N'(2,-9).
Hence, option (B) is the correct answer.