Write the equation for the translation of y= 7/x that has asymptotes at x=-3 and y = 17

Let us consider the given function ,

It has a vertical asymptote at x=0, because x=0 makes the denominator 0, which is not defined.

To have the vertical asymptote at x= -3, the denominator has to be x-(-3), or x+3.

So, the function has vertical asymptote at x = -3.

Since, the function has a horizontal asymptote at y=0.

So, to get the horizontal asymptote at y=17 we have to add 17 to the function.

Therefore, the function has a vertical asymptote at x = -3 and a horizontal asymptote at y = 17.

So, Equation after the translation is:

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the first one, all those points on the line just make a strait line.