[tex]f(x)=a|x-h|+k[/tex] looks similar to that of vertex form where a is the stretch factor, h is the horizontal translation, and k is the vertical translation.
[tex]f(x)=7|x+4|-6[/tex] would mean that the minimum point is located at [tex]x=-4[/tex] and [tex]y=-6[/tex].
Moving f(x) 2 units to the right will only affect the h value and the only way to do this is by subtracting 2 from 4. Remember that the more negative the number, the more positive or to the right the x value for the minimum/maximum is, and vice versa.
The final equation will be [tex]f(x)=7|x+2|-6[/tex] where:
a = 7
h = 2
k = 6
