Answer
$\bf{B}$
Work Step by Step
The coordinates of $\triangle ABC$ after the reflection along line $x=1$ changes from $A(-6,4), B(-5,1), C(-1,1)$ to $A(8,4), B(7,1), C(3,1)$.
Next, we have the coordinates of $\triangle ABC$ after the translation 1 unit up from $A(-6,4), B(-5,1), C(-1,1)$ to $A(8,5), B(7,2), C(3,2)$.
Therefore, the correct option is $\bf{B}$.