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hello everyone hope youamp;#39;re doing well as requested by a comment today weamp;#39;re going to be talking about how to flip an image over the x-axis or the y-axis okay so to start off letamp;#39;s think about this conceptually we have our image which is just a grid of pixels we want to do for flipping over the x is to swap all of the pixels on the left side with some pixel on the right side like you see in this image to simplify things down letamp;#39;s just look at one row of the image if we have one row of the image weamp;#39;re going to use this little formula to figure out which picks on the right side we want to swap with and if we look at just this row and follow that formula we can see for our edge points weamp;#39;re going to map zero zero to four zero and then weamp;#39;re gonna do the same for one zero two three zero and finally 2 0 which maps to itself using this formula the formula is just width minus 1 minus x so now weamp;#39;re going to go ahead and put this