the coordinate of M is (-3, -5)
it is given that M is translated 6 unit right , and 5 unit up.
so the coordinate of M' is (-3+6 , -5 + 5) = (3, 0)
so, the distance between M and M' is,
![d=\sqrt[]{(3-(-3))^2+(0-(-5))^2}](https://img.qammunity.org/2023/formulas/mathematics/college/ew8bh8bvmu9c9m1d6vx03wqroewrugffc9.png)
![\begin{gathered} d=\sqrt[]{6^2+5^2} \\ d=\sqrt[]{36+25} \\ d=\sqrt[]{61} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/a3bmcv1qwys91kkonjovrxd8ro8a32s9ac.png)
d = 7.81
so, the closest to the unit distance is 8
thus, the answer is option D