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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

Step-by-step explanation:

g(x) = (1/2)⁽ˣ⁺³⁾