The curve may be flattened, but it does not necessarily then follow even a slow, but steady downward movement, not with a virus infection such as this, we should expect a bit of downward movement, followed by another upward one, and that pattern perhaps repeated. This is because various measures work for a while, like a "lockdown", but in that time, members of the community are incubating the disease.
The Government in this Country,the U.K, is trying to give the impression that it up to a peak, then a slide down, with no hiccups. I doubt that will happen, especially as they are allowing people to return to the Country from all over the World, with NO CHECKS, and then allowing them to trot off home, maybe via the Supermarket, and so spread the disease further.