It needs to cross the x-axis in order for us to have an inflection point there. So given that, let's look at the students' justifications and see what we could, if we kind of put the teacher hat in our mind and say what a teacher would say for the different justifications. So the first student says the second derivative of g changes signs at x equals negative two. Well, that's exactly what we were just talking about. If the second derivative changes signs, in this case, it goes from negative to positive, that means our first derivative went from decreasing to increasing, which is indeed good for saying this is a calculus-based justification. So at least for now, I'm gonna put, kudos, you are correct there. It crosses the x-axis.