Question

Identify the asymptotes of y= 1 / (4x-4) + 3
(multiple choice..A, B, C or D)
please & thank you? :)
A: Vertical asymptote: x=1, Horizontal asymptote: y=3.
B. Vertical asymptote: x=-1, Horizontal asymptote: y=-3.
C. Vertical asymptote: x=3, Horizontal asymptote: y=1.
D. Vertical asymptote: x=1/4, Horizontal asymptote: y=-3.

Answer 1

Zoom out, you'll see the answer.
https://www.google.com/search?q=1+%2F+(4x-4)++%2B+3&rlz=1C1CHFX_enUS524US524&oq=1+%2F+(4x-4)++%2B+3&aqs=chrome.0.69i57&sourceid=chrome&ie=UTF-8

Answer 2

honestly dont understand how to find the answer on the graph...

Answer 3

@satellite73

Answer 4

ok lets go slow

Answer 5

I actually meant "zoom in and adjust".
@satellite73 Will handle this.

Answer 6

you are looking for two different kinds of asymptotes, a "vertical" asymptote and a "horizontal" asymptote
lets find the vertical one first

Answer 7

\[y=\frac{1}{4x-4}+3\] will have a vertical asymptote where the expression is undefined, i.e. where the denominator is zero
solve \(4x-4=0\) for \(x\)
what do you get?

Answer 8

x=1 ?

Answer 9

yes

Answer 10

so the vertical asymptote is the vertical like \(x=1\)

Answer 11

the horizontal asymptote is \(y=3\) because of the \(+3\) hanging out at the end of \(y=\frac{1}{4x-4}+3\)

Answer 12

oh.. that makes sense.

Answer 13

good
that is all there is to it