I am given an $x$-intercept of $-3-\sqrt{7}$ and I am asked to find the other intercept. I am having trouble since I don't have any other information but the given $x$-intercept. My guess is that the other $x$-intercept is $-3+\sqrt{7}$ but I don't know how to show it mathematically if it's right. Or rather can I have any other intercepts since I can make my own vertex and axis of symmetry. There is no restriction at all. Please help.
Here is the exact problem. One zero of a quadratic function (whose graph is a parabola) is $-3-\sqrt{7}$. What is the other zero?