Clip/Crop background-image with CSS

You can put the graphic in a pseudo-element with its own dimensional context:

#graphic {
  position: relative;
  width: 200px;
  height: 100px;
}
#graphic::before {
  position: absolute;
  content: '';
  z-index: -1;
  width: 200px;
  height: 50px;
  background-image: url(image.jpg);
}

#graphic {
    width: 200px;
    height: 100px;
    position: relative;
}
#graphic::before {
    content: '';
    
    position: absolute;
    width: 200px;
    height: 50px;
    z-index: -1;
    
    background-image: url(http://placehold.it/500x500/); /* Image is 500px by 500px, but only 200px by 50px is showing. */
}

<div id="graphic">lorem ipsum</div>

Browser support is good, but if you need to support IE8, use a single colon :before. IE has no support for either syntax in versions prior to that.