Thanks Jeff,
Sounds like, for this particular case, my best option is to generate the csv parabola in, say, Excel, and then not place it at the origin and do a surface revolve. I'll try that and post back on this thread and let you know how it went.
I would have left it at that, except for this comment of yours, "First, this sketch is kind of a mess, to be honest."
Perhaps that should make you stop and wonder, why did you start with that?
Yes, there are neater ways to do it, but why didn't you ask yourself "Why did Fusion 360 invite a Fusion 360 user to create a mess?" Turning the questions around is actually the Usability question developers could be asking themselves. It is very easy to jump to the conclusion that users are not very bright and create messes, rather than asking yourselves how do we improve our product.
When I posted this question I was wondering if someone was going to point me at the conics option, but you didn't, rather you advised me to go outside Fusion 360 to initiate the solution. That implies that the conic option is not fit for the function I need. If I was a Fusion 360 developer I would be rather concerned about that issue and would be looking to improve it, and if users generate "a mess" that would be an important indicator that the software could do with some improvement.
BTW, I might be a Noob to Fusion 360, but I am not a Noob to CAD/CAM. In an earlier life (back in the 1980s, yes I'm old) I had the good fortune to be a member of a software team that developed the predecessors of the modern CAD/CAM packages, like Fusion 360. It was an excellent team, and one of the reasons it was an excellent team was because we listened to the shop-floor (literally). Back then our users were the machinists that operated the mills and lathes on the shop floor. It would have been very easy to consider ourselves superior to the machinists, and our product would have been the worse for it. So you can dismiss my advice if you like, or perhaps we could be lucky, and you might take what I am saying seriously and improve the Fusion 360 community culture and start fixing problems like pointing us to Excel to generate a quadratic because the conics option is useless, or advising against using (0,0,0) (the natural place to want to put a mathematical function) as the root for our designs.
Hope that helps
George