Final answer:
After a vertical translation of 6 units up, the function g(x) becomes -4x + 4. By substituting x = 0 into g(x), we find that the y-intercept of g(x) is 4.
Step-by-step explanation:
The question asks about the y-intercept of the function g(x) after a vertical translation of the function f(x) = -4x - 2. A vertical translation upwards by 6 units means that every y-value of the function f(x) is increased by 6. So the new function g(x) will be g(x) = f(x) + 6 = (-4x - 2) + 6 = -4x + 4.
The y-intercept of a function is the y-value where x is 0. Therefore, if we substitute x = 0 into g(x), we get g(0) = -4(0) + 4 = 4, which is the y-intercept of g(x).