Final answer:
The reflected function of g(x) = -|x+3|-1 about the y-axis is g(-x) = -|-x+3|-1, which simplifies to the original g(x), as the absolute value function is symmetric about the y-axis.
Step-by-step explanation:
The question is about performing a reflection of the function g(x) = -|x+3|-1 about the y-axis. To reflect a function about the y-axis, we replace every occurrence of x in the function with -x and solve for the new function. Thus, the reflection of g(x) about the y-axis is g(-x) = -|-x+3|-1. However, since the absolute value function |x+3| is even (it is symmetric about the y-axis), the reflection about the y-axis does not change its shape. Therefore, g(-x) simplifies to the original function g(x) = -|x+3|-1.