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so were going to take these uh reciprocal graphs one step further by transforming them via a translation so what youve got to recognize when trying to draw one of these graphs it is important to think about where the asymptotes have moved in fact that makes it a whole lot easier for you so if the graph has been moved up uh 10 so youve added 10 to the right hand side okay to the y values then whats going to happen is that if you have an asymptote at the x axis then it too will move up 10 units so if we can go about drawing the asymptotes first then we can draw our graph around it so for number one weve got y equals two over x plus three now we know what y equals two over x looks like so were going to be adding three so were gonna be moving the graph up so first of all think about what y equals 2 over x would look like y equals 2 over x has a horizontal asymptote at the x x-axis and it has a vertical asymptote at the y-axis now if you move the whole graph three units up the asymp