# What are the asymptotes of y=−1/(x+4)+3 and how do you graph the function?

What are the asymptotes of $y=-\frac{1}{x+4}+3$ and how do you graph the function?
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Kenny Kramer
y = $-\frac{1}{x+4}+3$ = $\frac{3x+11}{x+4}$

Asymptote of y : x = -4
Asymptote of x : $\frac{3x+11}{x+4}$ = 3
Intersection x axis : y = 0 $-\frac{11}{3}$ = −3.67
Intersection y axis : x = 0 $\frac{11}{4}$ = 0.275
Graph :

graph{-1/(x+4) + 3 [-16.39, 16.39, -8.19, 8.19]}