Question

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?

Answer 1

HI!!

Answer 2

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

Answer 3

Yes! @misty1212

Answer 4

ok then you got the "vertical asymptote" right

Answer 5

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

Answer 6

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

Answer 7

it is \(y=-4\) the minus sign does not go away

Answer 8

Ok! Thank you so much! @misty1212

Answer 9

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

Answer 10

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