Yes you can specify your own backround-position and background-size for any responsive image in the slider to override the Ninja Slider's default settings:
The data-image attribute will be used to set the background image of the slide. The background image's default style:
background-repeat: no-repeat; background-position: 50% 50%;
You can override them with your own styles, eg.
<li><div data-image="/img/1.jpg" style="background-position:50% 30px;"></div></li>
By default the responsive background image will adapt to its container in the style background-size:contain;. You can override it with your own specifications. For example:
<li><div data-image="/img/1.jpg" style="background-size:cover;"></div></li>
<li><div data-image="/img/4.jpg" style="background-size:auto 200px;"></div></li>
Learn more about CSS3 background-size
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