Is there anyway to make the main banner image dynamic in switching from desktop to mobile?

[Matthew_LSOF]

I have a image with text on it that i am using as the main banner on my website it looks great in desktop view but in mobile both sides are cropped off and it looks absolutely terrible. Is there anyway i change the image to be dynamic so when someone is viewing on mobile the image still appears full?

[VoilaPatisserie]

I am having the exact same problem. The image is the background of my banner. I am using the free version offered by Squareup. Are there specific dimensions I should make my image?