I can't seem to figure this problem out, there doesn't seem to be enough information.
Find the standard equation of the parabola that has a vertical axis that has $x$-intercepts $-5$ and $3$ and has a lowest point with a $y$-coordinate of $-7$.
I could either do $0 = a(-5 -h)^2 -7$ or $0 = a(3 - h)^2 - 7$ but either way it seems like I don't have enough information. I guess I could just find $a$ in terms of $h$ or viceversa but I feel like there is an easier solution. Any advice?