Question: regarding to data science image processing, how to answers above problems with details explanations? About laplacian filter. The process of sharpening of image by Laplacian

regarding to data science image processing, how to answers above problems with details explanations?
About laplacian filter. The process of sharpening of image by Laplacian is g(x,y)=f(x,y)2f, it means With simplified laplacian, we got this kernel, How it comes
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