I handle image formatting outside of latex and incorporate them directly as pdf, png, or jpg. So this is not a latex answer per se, but it may still be usefull for the production of latex document.
Inkscape
What I usually do is, if I know the image in the pdf is in vectorial format, I will open the image directly in Inkscape, delete the content I don't want, add any modification to the original image, resize the image by doing File -> Document Properties... -> Resize page to content... -> Resize, and save the result in pdf to be incorporated as is in LaTex. When the image in the pdf is not in vectorial format, I end up usually redrawing it in Inkscape anyway... The tool located in Path -> Trace Bitmap... is sometimes useful for this.

GIMP
Alternately, GIMP can be used to produce high quality screenshot from pdf documents. Open the pdf document with GIMP, select the page on which your image is, define the desired resolution of the image and select whether you want your image to contains anti-aliasing or not. For a thesis for example I would select a resolution of 300 or 600 dpi without anti-aliasing. For a presentation or on screen display, 100 dpi with anti-aliasing.

Once the page is loaded in GIMP, select the area where the image you want is located in the page with the Selection Tool. Crop the image to selection by doing Image -> Crop to Selection and save the image as png or jpg by doing File -> Export As. I usually save in png if it is a graph or if there is text in the image and save it as jpg if it is a picture.
pdfpages. Have a look here: http://tex.stackexchange.com/questions/25806/how-can-i-crop-included-pdf-documents – DG' Apr 19 '15 at 14:59