Question

Determine the function which corresponds to the given graph.
Hints:
The graph is of a log
The asymptote is x = -3
Picture will be posted below

Answer 1

@zepdrix @marcelie @.Sam.

Answer 2

@amorfide @Awolflover1

Answer 3

my guess was y = log (x+ 2)

Answer 4

"2"? Count that again.

Answer 5

@Zarkon

Answer 6

It looks like the graph is shifted two units to the left because it intersects 2 on the x axis, right?

Answer 7

-2*

Answer 8

Without the shift, where would it intersect the x-axis?

Answer 9

0,0

Answer 10

The origin, right?

Answer 11

Not quite. (1,0).

Answer 12

Oh .-. , sooo I guess it should be x + 0.xxx?

Answer 13

How do you solve this kind of problem, and where do you write in the asymptote?

Answer 14

log(x) has an asymptote at x=0
log(x+1) has an asymptote at x+1=0, x=-1
so your asymptote is at x=-3
and you know it is a log function

so rearrange x=-3, to make it equal 0
and that is your expression part of your logarithm

Answer 15

if you draw the graph log(x) and compare it to the graph you are given you can figure out the translation

Answer 16

so its log(x+3) and brb ill graph and compare

Answer 17

That's the spirit.

Answer 18

:/ In the hour I spent graphing different things to try and figure it out myself, I tried this, but I was stumped when I compared log(x+3) to the graph because I noticed that it doesn't intersect -2 on the x axis nor does it cross the y axis at 1 or the vertical asymptote one could asume between y = 2.5 and 3

Answer 19

I think that there is something I dont understand

Answer 20

@amorfide Assuming that log(x+3) is not the final answer, what other steps can I take towards the correct answer?

Answer 21

@karim728

Answer 22

Draw log(x) on an accurate scale (As accurate as you can)
then find its asymptote

now draw on the asymptote the question gives you (x=-3)

and see what translation puts you there

next, draw that translated graph

and it should be your final answer
if not

maybe it is also translated parallel to the y axis, that is, if you had f(x)=log(x)
g(x)=log(x)+a
is a translation a units, parallel to the y

Answer 23

but I think log(x+3) is your final answer
show your graphs

Answer 24

y=log(x+3)

Answer 25

Okay I will post it:

Answer 26

So I refreshed my graph and now it looks perfect.. xD I guess it wasn't reloading properly when I checked it the first time, my bad.

Answer 27

Thank you!

Answer 28

no problem! happy to help!