Note that in any transformation in the form :
[tex]f(x+c)+d[/tex]
The parent function f(x) is translated c units to the left and d units upward. If the sign is negative, just take the opposite direction.
From the given function,
[tex]y=f(x+6)-3[/tex]
c = 6, positive
and
d = -3, negative
so the parent function is translated 6 units to the left and 3 units downward.
The answer is Choice C. left 6 units and down 3 units
