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write a translation of y=-5/x that has the asymptotes x=-1 & y=6.
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denominator must be \[x+1\]
for this to have horizontal asymptote \[y=6\] you must have the degree of denominator = degree of the numerator and the ratio of leading coefficients must be 6
oh wait. ok "translation" sorry. i bet lagrange will have it
i will be quiet and watch.
ok fine. we go to the left 1 and up 6. starting with \[y=\frac{-5}{x}\] left 1 gives \[y=\frac{5}{x+1}\]
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ok fine. we go to the left 1 and up 6. starting with \[y=\frac{-5}{x}\] left 1 gives \[y=\frac{5}{x+1}\]
the up 6 so write \[y=\frac{-5}{x+1}+6\]
you can add if you like. if you do you get \[y=\frac{6x+1}{x+1}\]
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