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.
<u>The y-intercept of f(x) is (0, 1) but the y-intercept of g(x) is smaller:</u>