The parent function is,
[tex]f(x)=5^x[/tex]The given function is,
[tex]g(x)=-3f(x+4)-4[/tex]As there is f(x+4) hence it will be shifted 4 units towards the left.
As the function f(x+4) is multiplied by 3 it will be stretched 3 times.
As the function 3f(x+4) is multiplied by -1 it will be reflected about the x-axis.
As the -4 is added to the function -3f(x+4), it will be shifted 4 units downward.
Thus, option (A) is the correct solution,