Adjusting Graphic Frame

When I adjust the position of one side of a Graphic Frame, the image shifts over toward the other side. This makes precise adjustment of the image difficult and some things, impossible. I played with the Anchor points to see what that would do, but without success in accomplishing the following:

I want to adjust the left side of the frame to cut off the example number:
Graphic Frame 1

When I move the left side to the right, the right margin compresses.
Graphic Frame 2

To remove the entire number, the entire right part of the example also has to be cut off.
Graphic Frame 3

(Yes, I know I could edit out the number in the original graphic slice that I am inserting, but that would be less convenient.)

Is there a way to make the image stay in place while one adjusts each side?

No, at present there is not. This would require us to add a “crop” mode for graphics frames, which would certainly be useful!

Thank you, @dspreadbury