Respuesta :

mhanifa

Answer:

  • A. Horizontal asymptote of y = 0

Step-by-step explanation:

Given function:

  • f(x) = 2ˣ

And the function g(x):

  • g(x) = f(x - 4)

g(x) is the horizontal shift of f(x) 4 units right.

It has a different y-intercept but same asymptote with f(x), which is y = 0 as the exponential function never reaches zero and never negative. Hence option B is incorrect.

The y-intercept of f(x) is (0, 1) but the y-intercept of g(x) is smaller:

  • g(0) = 2⁻⁴ = 1/16

So we are left with option A

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