## anonymous one year ago What are the asymptotes of the graph of y=1/x+3-4? I know one asymptote is -3, but is the other one -4 or 4?

1. misty1212

HI!!

2. misty1212

is it $y=\frac{1}{x+3}-4$?

3. anonymous

Yes! @misty1212

4. misty1212

ok then you got the "vertical asymptote" right

5. anonymous

I know one asymptote is x= -3, but I can't decide if the next one y= -4 or just 4. @misty1212

6. misty1212

it would be $$x=-3$$ like you said you can see the horizontal asymptote with your eyes

7. misty1212

it is $$y=-4$$ the minus sign does not go away

8. anonymous

Ok! Thank you so much! @misty1212

9. misty1212

as $$x\to \infty$$ you have $y=\overbrace{\frac{1}{x+3}}^{\text{ this stuff goes away}}-4$

10. misty1212

$\color\magenta\heartsuit$