Set 6: Exponential Functions (Advanced)

Choice A is correct. Choice A is the correct answer. Identify the horizontal shift. 1. Form: $y = a(b)^{x-h}$ shifts right by $h$ units. 2. Given: $g(x) = 8(2)^{x-3}$, so $h = 3$. 3. Shift: Graph moves 3 units to the right. Strategic Tip: $(x - h)$ shifts right, $(x + h)$ shifts left. Choice B is incorrect because $(x - 3)$ means right, not left. Choice C is incorrect because this would require adding a constant outside. Choice D is incorrect because vertical shifts involve adding/subtracting from the entire function.