Question

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

Answer 1

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

Explanation:

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]}