These diagrams show fingerings for the E shape.  The same voicings as an open E major but playable anywhere.  The roots on the 6th and 1st strings should be barred with the first finger, but using the thumb on the 6th string, and the first finger over strings 1 to 4, is also very popular as simply removing the second finger flattens the third, and  removing the third finger produces a dominant seventh. Hammering up to the major-third with the second finger on the 3rd string is as much a signature of this shape as the solid fifths on the bottom two strings.