Quadratic functions:?

I'm not sure what you mean by "negative" x-intercepts. An x-intercept can most definetely be a negative value, such as -5, -3.14, -root 2, etc. When you won't get an x-intercept is when you are square rooting a negative number. For the question above, I can tell you right off the bat that it has no x-intercepts. The vertex is above the x-axis, and the graph is opening upwards. This means that it is never going to cross the x-axis. If you graph it, you will see what I am talking about.