How do you find the asymptote and graph $y=-1/(x+6)+7$ ?

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Answer 1 · 2017-01-30T16:02:23

Vertical asymptote : $uarr x = -7 garr$
Horizontal asymptote: $larr y=7 rarr$
See asymptotes-inclusive Socratic graph.

The equation can be rearranged as

$(y-7)(x+6)=-1$

that represents a rectangular hyperbola with asymptotes given b

$(y-7)(x+6)=0$ .

graph{((y-6)(x+7)+1)(y-6+.01x)(x+7-.001y)=0 [-9, -5,0, 12]}

How do you find the asymptote and graph y=-1/(x+6)+7y=-1/(x+6)+7?