The graph of g(x) is the result of translating the graph of f(x) = three units to the left. what is the equation of g(x)?

options

g(x)=1/2^x-3 < a

g(x)=1/2^x+3 < b

g(x)=1/2^x -3 < c

g(x)=1/2^x +3 < d

In the case of exponential functions, the graph is shifted when a constant is added to the exponent of the constant. The original equation, f(x) is:
f(x) = (1/2)ˣ
Now, when horizontal shifting is occurring, the equation is:
y = Cˣ⁺ᵃ
If a is positive, the graph shifts to the lefts and the shift is equal to a units. If a is negative, the graph shifts to the right and the shift is equal to a units. Therefore, to shift the graph 3 units to the left:

g(x) = (1/2)⁽ˣ⁺³⁾
The correct answer is B.

1603 is the correct one.