A low-profile graphics card is also called a half-height graphics card, slim graphics card, or low-profile GPU in general.
If your low-profile video card did not come with a low-profile bracket then you can easily find low-profile brackets or half-height brackets for your low-profile card online. You can interchange the brackets on low-profile cards and make them fit in any PC case, whether it is a regular ATX case or a slim low-profile case. The first one comes with a pre-installed low-profile bracket or half-height bracket, and the second one comes with a standard-size bracket (with a low-profile bracket included in the box or package). The difference between the two is the size of the brackets used on the rear side of the cards. Low-profile graphics cards may also be categorized into two types, which are low-profile graphics cards and low-profile ready graphics cards. Low-profile graphic cards are comparatively smaller in size than regular-sized graphics cards and are used mostly in slim cases or low-profile computer cases. I have also used a couple of low-profile graphics cards in the past, and they have served my purpose pretty well. Low Profile Graphics Cards are small form factor graphics cards that are not essentially meant for gaming, but some people buy them for their special needs or requirements.